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Simplifying 2(x + -5) = -12(x + 10) + 4x Reorder the terms: 2(-5 + x) = -12(x + 10) + 4x (-5 * 2 + x * 2) = -12(x + 10) + 4x (-10 + 2x) = -12(x + 10) + 4x Reorder the terms: -10 + 2x = -12(10 + x) + 4x -10 + 2x = (10 * -12 + x * -12) + 4x -10 + 2x = (-120 + -12x) + 4x Combine like terms: -12x + 4x = -8x -10 + 2x = -120 + -8x Solving -10 + 2x = -120 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + 2x + 8x = -120 + -8x + 8x Combine like terms: 2x + 8x = 10x -10 + 10x = -120 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 10x = -120 + 0 -10 + 10x = -120 Add '10' to each side of the equation. -10 + 10 + 10x = -120 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = -120 + 10 10x = -120 + 10 Combine like terms: -120 + 10 = -110 10x = -110 Divide each side by '10'. x = -11 Simplifying x = -11
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