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Simplifying 5(x + 3) = 5(x + -1) + -2x Reorder the terms: 5(3 + x) = 5(x + -1) + -2x (3 * 5 + x * 5) = 5(x + -1) + -2x (15 + 5x) = 5(x + -1) + -2x Reorder the terms: 15 + 5x = 5(-1 + x) + -2x 15 + 5x = (-1 * 5 + x * 5) + -2x 15 + 5x = (-5 + 5x) + -2x Combine like terms: 5x + -2x = 3x 15 + 5x = -5 + 3x Solving 15 + 5x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 5x + -3x = -5 + 3x + -3x Combine like terms: 5x + -3x = 2x 15 + 2x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 2x = -5 + 0 15 + 2x = -5 Add '-15' to each side of the equation. 15 + -15 + 2x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -5 + -15 2x = -5 + -15 Combine like terms: -5 + -15 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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