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Simplifying 9 + 12x = 6 + 15(x + -1) Reorder the terms: 9 + 12x = 6 + 15(-1 + x) 9 + 12x = 6 + (-1 * 15 + x * 15) 9 + 12x = 6 + (-15 + 15x) Combine like terms: 6 + -15 = -9 9 + 12x = -9 + 15x Solving 9 + 12x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 9 + 12x + -15x = -9 + 15x + -15x Combine like terms: 12x + -15x = -3x 9 + -3x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -3x = -9 + 0 9 + -3x = -9 Add '-9' to each side of the equation. 9 + -9 + -3x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -9 + -9 -3x = -9 + -9 Combine like terms: -9 + -9 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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