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Simplifying 5x + 12 + -1(2x + -12) = -3x + 9 Reorder the terms: 5x + 12 + -1(-12 + 2x) = -3x + 9 5x + 12 + (-12 * -1 + 2x * -1) = -3x + 9 5x + 12 + (12 + -2x) = -3x + 9 Reorder the terms: 12 + 12 + 5x + -2x = -3x + 9 Combine like terms: 12 + 12 = 24 24 + 5x + -2x = -3x + 9 Combine like terms: 5x + -2x = 3x 24 + 3x = -3x + 9 Reorder the terms: 24 + 3x = 9 + -3x Solving 24 + 3x = 9 + -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. 24 + 3x + 3x = 9 + -3x + 3x Combine like terms: 3x + 3x = 6x 24 + 6x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + 6x = 9 + 0 24 + 6x = 9 Add '-24' to each side of the equation. 24 + -24 + 6x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 9 + -24 6x = 9 + -24 Combine like terms: 9 + -24 = -15 6x = -15 Divide each side by '6'. x = -2.5 Simplifying x = -2.5
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