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Simplifying 8 + 3(x + 2) = 5(x + -1) Reorder the terms: 8 + 3(2 + x) = 5(x + -1) 8 + (2 * 3 + x * 3) = 5(x + -1) 8 + (6 + 3x) = 5(x + -1) Combine like terms: 8 + 6 = 14 14 + 3x = 5(x + -1) Reorder the terms: 14 + 3x = 5(-1 + x) 14 + 3x = (-1 * 5 + x * 5) 14 + 3x = (-5 + 5x) Solving 14 + 3x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 3x + -5x = -5 + 5x + -5x Combine like terms: 3x + -5x = -2x 14 + -2x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -2x = -5 + 0 14 + -2x = -5 Add '-14' to each side of the equation. 14 + -14 + -2x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -5 + -14 -2x = -5 + -14 Combine like terms: -5 + -14 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5
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