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Simplifying 3(x + -8) + -1(x + 12) = -2(x + -5) + 10 Reorder the terms: 3(-8 + x) + -1(x + 12) = -2(x + -5) + 10 (-8 * 3 + x * 3) + -1(x + 12) = -2(x + -5) + 10 (-24 + 3x) + -1(x + 12) = -2(x + -5) + 10 Reorder the terms: -24 + 3x + -1(12 + x) = -2(x + -5) + 10 -24 + 3x + (12 * -1 + x * -1) = -2(x + -5) + 10 -24 + 3x + (-12 + -1x) = -2(x + -5) + 10 Reorder the terms: -24 + -12 + 3x + -1x = -2(x + -5) + 10 Combine like terms: -24 + -12 = -36 -36 + 3x + -1x = -2(x + -5) + 10 Combine like terms: 3x + -1x = 2x -36 + 2x = -2(x + -5) + 10 Reorder the terms: -36 + 2x = -2(-5 + x) + 10 -36 + 2x = (-5 * -2 + x * -2) + 10 -36 + 2x = (10 + -2x) + 10 Reorder the terms: -36 + 2x = 10 + 10 + -2x Combine like terms: 10 + 10 = 20 -36 + 2x = 20 + -2x Solving -36 + 2x = 20 + -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. -36 + 2x + 2x = 20 + -2x + 2x Combine like terms: 2x + 2x = 4x -36 + 4x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 4x = 20 + 0 -36 + 4x = 20 Add '36' to each side of the equation. -36 + 36 + 4x = 20 + 36 Combine like terms: -36 + 36 = 0 0 + 4x = 20 + 36 4x = 20 + 36 Combine like terms: 20 + 36 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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