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Simplifying 3(2x + 1) + 5(3x + 2) = 4(4x + 7) Reorder the terms: 3(1 + 2x) + 5(3x + 2) = 4(4x + 7) (1 * 3 + 2x * 3) + 5(3x + 2) = 4(4x + 7) (3 + 6x) + 5(3x + 2) = 4(4x + 7) Reorder the terms: 3 + 6x + 5(2 + 3x) = 4(4x + 7) 3 + 6x + (2 * 5 + 3x * 5) = 4(4x + 7) 3 + 6x + (10 + 15x) = 4(4x + 7) Reorder the terms: 3 + 10 + 6x + 15x = 4(4x + 7) Combine like terms: 3 + 10 = 13 13 + 6x + 15x = 4(4x + 7) Combine like terms: 6x + 15x = 21x 13 + 21x = 4(4x + 7) Reorder the terms: 13 + 21x = 4(7 + 4x) 13 + 21x = (7 * 4 + 4x * 4) 13 + 21x = (28 + 16x) Solving 13 + 21x = 28 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 13 + 21x + -16x = 28 + 16x + -16x Combine like terms: 21x + -16x = 5x 13 + 5x = 28 + 16x + -16x Combine like terms: 16x + -16x = 0 13 + 5x = 28 + 0 13 + 5x = 28 Add '-13' to each side of the equation. 13 + -13 + 5x = 28 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 28 + -13 5x = 28 + -13 Combine like terms: 28 + -13 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
| 0.2(x+3)-4(2x-3)=3.4 | | 10x^2-28x-6= | | 9x-6x=3 | | 1+4x=49 | | 9x-6ifx=3 | | 0.5-(3-x)=6.5 | | 5a=-6a+18 | | 2x^3-98x=0 | | 4x+6(4x-6)=160 | | 2x^2-11x-40= | | 6x^2+5x-6= | | 0.16(x-12)+0.5(x+2)=x+11 | | 10-2y=2 | | 2x^2+13x+6= | | 6x+4(3x-6)=84 | | 3x-4-5x=x+4x | | .02y+.01=.005 | | 3(-4x+4)=96 | | 3x+3(5x+6)=162 | | 4(x-3)+7=3(x-4) | | 10=1.6m | | 2x-8=-22 | | 5x+2(x+6)=47 | | 14x-19x+32x=27x-42 | | 23g=713 | | (2+n)+-9=-7 | | 5p^2-25+4p^2=24 | | (4xy-2x)(4xy+2x)= | | (2+n)=-9+-7 | | 0.8b=112 | | 8(6n-1)= | | 4x-7=2x-7 |