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Simplifying -12 = -4(x + -2) + 9(x + -5) Reorder the terms: -12 = -4(-2 + x) + 9(x + -5) -12 = (-2 * -4 + x * -4) + 9(x + -5) -12 = (8 + -4x) + 9(x + -5) Reorder the terms: -12 = 8 + -4x + 9(-5 + x) -12 = 8 + -4x + (-5 * 9 + x * 9) -12 = 8 + -4x + (-45 + 9x) Reorder the terms: -12 = 8 + -45 + -4x + 9x Combine like terms: 8 + -45 = -37 -12 = -37 + -4x + 9x Combine like terms: -4x + 9x = 5x -12 = -37 + 5x Solving -12 = -37 + 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. -12 + -5x = -37 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -5x = -37 + 0 -12 + -5x = -37 Add '12' to each side of the equation. -12 + 12 + -5x = -37 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = -37 + 12 -5x = -37 + 12 Combine like terms: -37 + 12 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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