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Simplifying 5(-2x + 3) + 5x = 27 + 5x + 18 Reorder the terms: 5(3 + -2x) + 5x = 27 + 5x + 18 (3 * 5 + -2x * 5) + 5x = 27 + 5x + 18 (15 + -10x) + 5x = 27 + 5x + 18 Combine like terms: -10x + 5x = -5x 15 + -5x = 27 + 5x + 18 Reorder the terms: 15 + -5x = 27 + 18 + 5x Combine like terms: 27 + 18 = 45 15 + -5x = 45 + 5x Solving 15 + -5x = 45 + 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. 15 + -5x + -5x = 45 + 5x + -5x Combine like terms: -5x + -5x = -10x 15 + -10x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -10x = 45 + 0 15 + -10x = 45 Add '-15' to each side of the equation. 15 + -15 + -10x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = 45 + -15 -10x = 45 + -15 Combine like terms: 45 + -15 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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