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Simplifying 40 + -3(-1x + -8) = 16 + -1(x + 12) Reorder the terms: 40 + -3(-8 + -1x) = 16 + -1(x + 12) 40 + (-8 * -3 + -1x * -3) = 16 + -1(x + 12) 40 + (24 + 3x) = 16 + -1(x + 12) Combine like terms: 40 + 24 = 64 64 + 3x = 16 + -1(x + 12) Reorder the terms: 64 + 3x = 16 + -1(12 + x) 64 + 3x = 16 + (12 * -1 + x * -1) 64 + 3x = 16 + (-12 + -1x) Combine like terms: 16 + -12 = 4 64 + 3x = 4 + -1x Solving 64 + 3x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 64 + 3x + x = 4 + -1x + x Combine like terms: 3x + x = 4x 64 + 4x = 4 + -1x + x Combine like terms: -1x + x = 0 64 + 4x = 4 + 0 64 + 4x = 4 Add '-64' to each side of the equation. 64 + -64 + 4x = 4 + -64 Combine like terms: 64 + -64 = 0 0 + 4x = 4 + -64 4x = 4 + -64 Combine like terms: 4 + -64 = -60 4x = -60 Divide each side by '4'. x = -15 Simplifying x = -15
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