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Simplifying 3(x + 9) = 2(x + -10) Reorder the terms: 3(9 + x) = 2(x + -10) (9 * 3 + x * 3) = 2(x + -10) (27 + 3x) = 2(x + -10) Reorder the terms: 27 + 3x = 2(-10 + x) 27 + 3x = (-10 * 2 + x * 2) 27 + 3x = (-20 + 2x) Solving 27 + 3x = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 3x + -2x = -20 + 2x + -2x Combine like terms: 3x + -2x = 1x 27 + 1x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 1x = -20 + 0 27 + 1x = -20 Add '-27' to each side of the equation. 27 + -27 + 1x = -20 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = -20 + -27 1x = -20 + -27 Combine like terms: -20 + -27 = -47 1x = -47 Divide each side by '1'. x = -47 Simplifying x = -47
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