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Simplifying (3 + -1x) * 5 = 3 + -2(2x + -1) Reorder the terms for easier multiplication: 5(3 + -1x) = 3 + -2(2x + -1) (3 * 5 + -1x * 5) = 3 + -2(2x + -1) (15 + -5x) = 3 + -2(2x + -1) Reorder the terms: 15 + -5x = 3 + -2(-1 + 2x) 15 + -5x = 3 + (-1 * -2 + 2x * -2) 15 + -5x = 3 + (2 + -4x) Combine like terms: 3 + 2 = 5 15 + -5x = 5 + -4x Solving 15 + -5x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + -5x + 4x = 5 + -4x + 4x Combine like terms: -5x + 4x = -1x 15 + -1x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + -1x = 5 + 0 15 + -1x = 5 Add '-15' to each side of the equation. 15 + -15 + -1x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 5 + -15 -1x = 5 + -15 Combine like terms: 5 + -15 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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