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Simplifying 15(x + 4) = 9(x + -2) Reorder the terms: 15(4 + x) = 9(x + -2) (4 * 15 + x * 15) = 9(x + -2) (60 + 15x) = 9(x + -2) Reorder the terms: 60 + 15x = 9(-2 + x) 60 + 15x = (-2 * 9 + x * 9) 60 + 15x = (-18 + 9x) Solving 60 + 15x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 60 + 15x + -9x = -18 + 9x + -9x Combine like terms: 15x + -9x = 6x 60 + 6x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 60 + 6x = -18 + 0 60 + 6x = -18 Add '-60' to each side of the equation. 60 + -60 + 6x = -18 + -60 Combine like terms: 60 + -60 = 0 0 + 6x = -18 + -60 6x = -18 + -60 Combine like terms: -18 + -60 = -78 6x = -78 Divide each side by '6'. x = -13 Simplifying x = -13
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