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Simplifying -4(2x + -7) = 3x + -1(x + 12) Reorder the terms: -4(-7 + 2x) = 3x + -1(x + 12) (-7 * -4 + 2x * -4) = 3x + -1(x + 12) (28 + -8x) = 3x + -1(x + 12) Reorder the terms: 28 + -8x = 3x + -1(12 + x) 28 + -8x = 3x + (12 * -1 + x * -1) 28 + -8x = 3x + (-12 + -1x) Reorder the terms: 28 + -8x = -12 + 3x + -1x Combine like terms: 3x + -1x = 2x 28 + -8x = -12 + 2x Solving 28 + -8x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + -8x + -2x = -12 + 2x + -2x Combine like terms: -8x + -2x = -10x 28 + -10x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + -10x = -12 + 0 28 + -10x = -12 Add '-28' to each side of the equation. 28 + -28 + -10x = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = -12 + -28 -10x = -12 + -28 Combine like terms: -12 + -28 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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