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Simplifying 19 + -1[13x + -1(22 + 7x) + 11] = 24x + -1[(15 + -4x) + (5x + -16)] 19 + -1[13x + (22 * -1 + 7x * -1) + 11] = 24x + -1[(15 + -4x) + (5x + -16)] 19 + -1[13x + (-22 + -7x) + 11] = 24x + -1[(15 + -4x) + (5x + -16)] Reorder the terms: 19 + -1[-22 + 11 + 13x + -7x] = 24x + -1[(15 + -4x) + (5x + -16)] Combine like terms: -22 + 11 = -11 19 + -1[-11 + 13x + -7x] = 24x + -1[(15 + -4x) + (5x + -16)] Combine like terms: 13x + -7x = 6x 19 + -1[-11 + 6x] = 24x + -1[(15 + -4x) + (5x + -16)] 19 + [-11 * -1 + 6x * -1] = 24x + -1[(15 + -4x) + (5x + -16)] 19 + [11 + -6x] = 24x + -1[(15 + -4x) + (5x + -16)] Combine like terms: 19 + 11 = 30 30 + -6x = 24x + -1[(15 + -4x) + (5x + -16)] Remove parenthesis around (15 + -4x) 30 + -6x = 24x + -1[15 + -4x + (5x + -16)] Reorder the terms: 30 + -6x = 24x + -1[15 + -4x + (-16 + 5x)] Remove parenthesis around (-16 + 5x) 30 + -6x = 24x + -1[15 + -4x + -16 + 5x] Reorder the terms: 30 + -6x = 24x + -1[15 + -16 + -4x + 5x] Combine like terms: 15 + -16 = -1 30 + -6x = 24x + -1[-1 + -4x + 5x] Combine like terms: -4x + 5x = 1x 30 + -6x = 24x + -1[-1 + 1x] 30 + -6x = 24x + [-1 * -1 + 1x * -1] 30 + -6x = 24x + [1 + -1x] Reorder the terms: 30 + -6x = 1 + 24x + -1x Combine like terms: 24x + -1x = 23x 30 + -6x = 1 + 23x Solving 30 + -6x = 1 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 30 + -6x + -23x = 1 + 23x + -23x Combine like terms: -6x + -23x = -29x 30 + -29x = 1 + 23x + -23x Combine like terms: 23x + -23x = 0 30 + -29x = 1 + 0 30 + -29x = 1 Add '-30' to each side of the equation. 30 + -30 + -29x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -29x = 1 + -30 -29x = 1 + -30 Combine like terms: 1 + -30 = -29 -29x = -29 Divide each side by '-29'. x = 1 Simplifying x = 1
| 2x^2+10x-54=0 | | 2d+120=12d+5d+5d | | y+4x=11x | | (4x+3)(6x-1)=9-34x | | 2(x-4)+7=6x-4(1+x) | | 5x+(-4)=3x | | .5(4-8y)=5-3y | | 0.4x^2-0.3x=0.2 | | 2x^2-12x=64 | | =x-22 | | d+e=2 | | -5-(15y-1)=2 | | 3x^2-9x=6 | | 2-0.75b=-4 | | y-5=-5(x-3) | | 14(r+1)=4(r+4)+8r | | 2(50+x+x)=242 | | 8n-16+24=129 | | 5x+6=5x+9 | | 5n^2-6n-10=15 | | 76*d-d^2= | | 7x+3=-3x+23 | | (3x+2)(x+4)= | | 90+90+3x=360 | | 2x+4+8=6 | | 12x+18y=8 | | -8(3x+4)+5x=82 | | 115+2r+100+(r+25)=360 | | (50+x)(25-2x)=0 | | 5(2x-3)=6-(x+10) | | 2x+1=1x | | 115+2r+100+(r+25)= |