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Simplifying 4(x + -5) + -2(x + 2) = 5x + -12 Reorder the terms: 4(-5 + x) + -2(x + 2) = 5x + -12 (-5 * 4 + x * 4) + -2(x + 2) = 5x + -12 (-20 + 4x) + -2(x + 2) = 5x + -12 Reorder the terms: -20 + 4x + -2(2 + x) = 5x + -12 -20 + 4x + (2 * -2 + x * -2) = 5x + -12 -20 + 4x + (-4 + -2x) = 5x + -12 Reorder the terms: -20 + -4 + 4x + -2x = 5x + -12 Combine like terms: -20 + -4 = -24 -24 + 4x + -2x = 5x + -12 Combine like terms: 4x + -2x = 2x -24 + 2x = 5x + -12 Reorder the terms: -24 + 2x = -12 + 5x Solving -24 + 2x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -24 + 2x + -5x = -12 + 5x + -5x Combine like terms: 2x + -5x = -3x -24 + -3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -3x = -12 + 0 -24 + -3x = -12 Add '24' to each side of the equation. -24 + 24 + -3x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -12 + 24 -3x = -12 + 24 Combine like terms: -12 + 24 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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