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Simplifying -9(x + -2) = 8(x + -3) Reorder the terms: -9(-2 + x) = 8(x + -3) (-2 * -9 + x * -9) = 8(x + -3) (18 + -9x) = 8(x + -3) Reorder the terms: 18 + -9x = 8(-3 + x) 18 + -9x = (-3 * 8 + x * 8) 18 + -9x = (-24 + 8x) Solving 18 + -9x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 18 + -9x + -8x = -24 + 8x + -8x Combine like terms: -9x + -8x = -17x 18 + -17x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 18 + -17x = -24 + 0 18 + -17x = -24 Add '-18' to each side of the equation. 18 + -18 + -17x = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -17x = -24 + -18 -17x = -24 + -18 Combine like terms: -24 + -18 = -42 -17x = -42 Divide each side by '-17'. x = 2.470588235 Simplifying x = 2.470588235
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