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Simplifying 3x + 2(5 + -1x) = 5(4 + 2x) + -1 3x + (5 * 2 + -1x * 2) = 5(4 + 2x) + -1 3x + (10 + -2x) = 5(4 + 2x) + -1 Reorder the terms: 10 + 3x + -2x = 5(4 + 2x) + -1 Combine like terms: 3x + -2x = 1x 10 + 1x = 5(4 + 2x) + -1 10 + 1x = (4 * 5 + 2x * 5) + -1 10 + 1x = (20 + 10x) + -1 Reorder the terms: 10 + 1x = 20 + -1 + 10x Combine like terms: 20 + -1 = 19 10 + 1x = 19 + 10x Solving 10 + 1x = 19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 1x + -10x = 19 + 10x + -10x Combine like terms: 1x + -10x = -9x 10 + -9x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -9x = 19 + 0 10 + -9x = 19 Add '-10' to each side of the equation. 10 + -10 + -9x = 19 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 19 + -10 -9x = 19 + -10 Combine like terms: 19 + -10 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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