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Simplifying 5(3 + -1x) = -2x + 9 (3 * 5 + -1x * 5) = -2x + 9 (15 + -5x) = -2x + 9 Reorder the terms: 15 + -5x = 9 + -2x Solving 15 + -5x = 9 + -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. 15 + -5x + 2x = 9 + -2x + 2x Combine like terms: -5x + 2x = -3x 15 + -3x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + -3x = 9 + 0 15 + -3x = 9 Add '-15' to each side of the equation. 15 + -15 + -3x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 9 + -15 -3x = 9 + -15 Combine like terms: 9 + -15 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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