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Simplifying 2(-1x + 3) = 3(x + 5) Reorder the terms: 2(3 + -1x) = 3(x + 5) (3 * 2 + -1x * 2) = 3(x + 5) (6 + -2x) = 3(x + 5) Reorder the terms: 6 + -2x = 3(5 + x) 6 + -2x = (5 * 3 + x * 3) 6 + -2x = (15 + 3x) Solving 6 + -2x = 15 + 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. 6 + -2x + -3x = 15 + 3x + -3x Combine like terms: -2x + -3x = -5x 6 + -5x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -5x = 15 + 0 6 + -5x = 15 Add '-6' to each side of the equation. 6 + -6 + -5x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 15 + -6 -5x = 15 + -6 Combine like terms: 15 + -6 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8
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