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Simplifying 184 = (2x + -3)(x + 8) + -1(2x + -7)(x + 4) Reorder the terms: 184 = (-3 + 2x)(x + 8) + -1(2x + -7)(x + 4) Reorder the terms: 184 = (-3 + 2x)(8 + x) + -1(2x + -7)(x + 4) Multiply (-3 + 2x) * (8 + x) 184 = (-3(8 + x) + 2x * (8 + x)) + -1(2x + -7)(x + 4) 184 = ((8 * -3 + x * -3) + 2x * (8 + x)) + -1(2x + -7)(x + 4) 184 = ((-24 + -3x) + 2x * (8 + x)) + -1(2x + -7)(x + 4) 184 = (-24 + -3x + (8 * 2x + x * 2x)) + -1(2x + -7)(x + 4) 184 = (-24 + -3x + (16x + 2x2)) + -1(2x + -7)(x + 4) Combine like terms: -3x + 16x = 13x 184 = (-24 + 13x + 2x2) + -1(2x + -7)(x + 4) Reorder the terms: 184 = -24 + 13x + 2x2 + -1(-7 + 2x)(x + 4) Reorder the terms: 184 = -24 + 13x + 2x2 + -1(-7 + 2x)(4 + x) Multiply (-7 + 2x) * (4 + x) 184 = -24 + 13x + 2x2 + -1(-7(4 + x) + 2x * (4 + x)) 184 = -24 + 13x + 2x2 + -1((4 * -7 + x * -7) + 2x * (4 + x)) 184 = -24 + 13x + 2x2 + -1((-28 + -7x) + 2x * (4 + x)) 184 = -24 + 13x + 2x2 + -1(-28 + -7x + (4 * 2x + x * 2x)) 184 = -24 + 13x + 2x2 + -1(-28 + -7x + (8x + 2x2)) Combine like terms: -7x + 8x = 1x 184 = -24 + 13x + 2x2 + -1(-28 + 1x + 2x2) 184 = -24 + 13x + 2x2 + (-28 * -1 + 1x * -1 + 2x2 * -1) 184 = -24 + 13x + 2x2 + (28 + -1x + -2x2) Reorder the terms: 184 = -24 + 28 + 13x + -1x + 2x2 + -2x2 Combine like terms: -24 + 28 = 4 184 = 4 + 13x + -1x + 2x2 + -2x2 Combine like terms: 13x + -1x = 12x 184 = 4 + 12x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 184 = 4 + 12x + 0 184 = 4 + 12x Solving 184 = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 184 + -12x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 184 + -12x = 4 + 0 184 + -12x = 4 Add '-184' to each side of the equation. 184 + -184 + -12x = 4 + -184 Combine like terms: 184 + -184 = 0 0 + -12x = 4 + -184 -12x = 4 + -184 Combine like terms: 4 + -184 = -180 -12x = -180 Divide each side by '-12'. x = 15 Simplifying x = 15
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