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Simplifying -10 + -2(x + -4) = 3(x + 6) Reorder the terms: -10 + -2(-4 + x) = 3(x + 6) -10 + (-4 * -2 + x * -2) = 3(x + 6) -10 + (8 + -2x) = 3(x + 6) Combine like terms: -10 + 8 = -2 -2 + -2x = 3(x + 6) Reorder the terms: -2 + -2x = 3(6 + x) -2 + -2x = (6 * 3 + x * 3) -2 + -2x = (18 + 3x) Solving -2 + -2x = 18 + 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. -2 + -2x + -3x = 18 + 3x + -3x Combine like terms: -2x + -3x = -5x -2 + -5x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -5x = 18 + 0 -2 + -5x = 18 Add '2' to each side of the equation. -2 + 2 + -5x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 18 + 2 -5x = 18 + 2 Combine like terms: 18 + 2 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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