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Simplifying 2(9 + x) = -15(4 + -1x) (9 * 2 + x * 2) = -15(4 + -1x) (18 + 2x) = -15(4 + -1x) 18 + 2x = (4 * -15 + -1x * -15) 18 + 2x = (-60 + 15x) Solving 18 + 2x = -60 + 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. 18 + 2x + -15x = -60 + 15x + -15x Combine like terms: 2x + -15x = -13x 18 + -13x = -60 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -13x = -60 + 0 18 + -13x = -60 Add '-18' to each side of the equation. 18 + -18 + -13x = -60 + -18 Combine like terms: 18 + -18 = 0 0 + -13x = -60 + -18 -13x = -60 + -18 Combine like terms: -60 + -18 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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