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Simplifying -2(x + -5) + -3(x + 4) = 8 Reorder the terms: -2(-5 + x) + -3(x + 4) = 8 (-5 * -2 + x * -2) + -3(x + 4) = 8 (10 + -2x) + -3(x + 4) = 8 Reorder the terms: 10 + -2x + -3(4 + x) = 8 10 + -2x + (4 * -3 + x * -3) = 8 10 + -2x + (-12 + -3x) = 8 Reorder the terms: 10 + -12 + -2x + -3x = 8 Combine like terms: 10 + -12 = -2 -2 + -2x + -3x = 8 Combine like terms: -2x + -3x = -5x -2 + -5x = 8 Solving -2 + -5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 8 + 2 -5x = 8 + 2 Combine like terms: 8 + 2 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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