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Simplifying 9(x + 1) = 15(x + -1) Reorder the terms: 9(1 + x) = 15(x + -1) (1 * 9 + x * 9) = 15(x + -1) (9 + 9x) = 15(x + -1) Reorder the terms: 9 + 9x = 15(-1 + x) 9 + 9x = (-1 * 15 + x * 15) 9 + 9x = (-15 + 15x) Solving 9 + 9x = -15 + 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 + 9x + -15x = -15 + 15x + -15x Combine like terms: 9x + -15x = -6x 9 + -6x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -6x = -15 + 0 9 + -6x = -15 Add '-9' to each side of the equation. 9 + -9 + -6x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -15 + -9 -6x = -15 + -9 Combine like terms: -15 + -9 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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