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Simplifying -24 + -1(x + 9) + 4x + -1(12 + -2x) = 0 Reorder the terms: -24 + -1(9 + x) + 4x + -1(12 + -2x) = 0 -24 + (9 * -1 + x * -1) + 4x + -1(12 + -2x) = 0 -24 + (-9 + -1x) + 4x + -1(12 + -2x) = 0 -24 + -9 + -1x + 4x + (12 * -1 + -2x * -1) = 0 -24 + -9 + -1x + 4x + (-12 + 2x) = 0 Reorder the terms: -24 + -9 + -12 + -1x + 4x + 2x = 0 Combine like terms: -24 + -9 = -33 -33 + -12 + -1x + 4x + 2x = 0 Combine like terms: -33 + -12 = -45 -45 + -1x + 4x + 2x = 0 Combine like terms: -1x + 4x = 3x -45 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x -45 + 5x = 0 Solving -45 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 5x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 5x = 0 + 45 5x = 0 + 45 Combine like terms: 0 + 45 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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