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Simplifying 2(4x + 1) = 5(3 + -1x) Reorder the terms: 2(1 + 4x) = 5(3 + -1x) (1 * 2 + 4x * 2) = 5(3 + -1x) (2 + 8x) = 5(3 + -1x) 2 + 8x = (3 * 5 + -1x * 5) 2 + 8x = (15 + -5x) Solving 2 + 8x = 15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 8x + 5x = 15 + -5x + 5x Combine like terms: 8x + 5x = 13x 2 + 13x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 13x = 15 + 0 2 + 13x = 15 Add '-2' to each side of the equation. 2 + -2 + 13x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 15 + -2 13x = 15 + -2 Combine like terms: 15 + -2 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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