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Simplifying 3 + 2(5x + -1) = 2x + 3(4 + -5x) Reorder the terms: 3 + 2(-1 + 5x) = 2x + 3(4 + -5x) 3 + (-1 * 2 + 5x * 2) = 2x + 3(4 + -5x) 3 + (-2 + 10x) = 2x + 3(4 + -5x) Combine like terms: 3 + -2 = 1 1 + 10x = 2x + 3(4 + -5x) 1 + 10x = 2x + (4 * 3 + -5x * 3) 1 + 10x = 2x + (12 + -15x) Reorder the terms: 1 + 10x = 12 + 2x + -15x Combine like terms: 2x + -15x = -13x 1 + 10x = 12 + -13x Solving 1 + 10x = 12 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 1 + 10x + 13x = 12 + -13x + 13x Combine like terms: 10x + 13x = 23x 1 + 23x = 12 + -13x + 13x Combine like terms: -13x + 13x = 0 1 + 23x = 12 + 0 1 + 23x = 12 Add '-1' to each side of the equation. 1 + -1 + 23x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 23x = 12 + -1 23x = 12 + -1 Combine like terms: 12 + -1 = 11 23x = 11 Divide each side by '23'. x = 0.4782608696 Simplifying x = 0.4782608696
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