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Simplifying 12(x + -4) + -8(2x + -7) = 3(x + 5) Reorder the terms: 12(-4 + x) + -8(2x + -7) = 3(x + 5) (-4 * 12 + x * 12) + -8(2x + -7) = 3(x + 5) (-48 + 12x) + -8(2x + -7) = 3(x + 5) Reorder the terms: -48 + 12x + -8(-7 + 2x) = 3(x + 5) -48 + 12x + (-7 * -8 + 2x * -8) = 3(x + 5) -48 + 12x + (56 + -16x) = 3(x + 5) Reorder the terms: -48 + 56 + 12x + -16x = 3(x + 5) Combine like terms: -48 + 56 = 8 8 + 12x + -16x = 3(x + 5) Combine like terms: 12x + -16x = -4x 8 + -4x = 3(x + 5) Reorder the terms: 8 + -4x = 3(5 + x) 8 + -4x = (5 * 3 + x * 3) 8 + -4x = (15 + 3x) Solving 8 + -4x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -4x + -3x = 15 + 3x + -3x Combine like terms: -4x + -3x = -7x 8 + -7x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -7x = 15 + 0 8 + -7x = 15 Add '-8' to each side of the equation. 8 + -8 + -7x = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 15 + -8 -7x = 15 + -8 Combine like terms: 15 + -8 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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