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Simplifying 3(5 + -1x) = 4(2x + 1) (5 * 3 + -1x * 3) = 4(2x + 1) (15 + -3x) = 4(2x + 1) Reorder the terms: 15 + -3x = 4(1 + 2x) 15 + -3x = (1 * 4 + 2x * 4) 15 + -3x = (4 + 8x) Solving 15 + -3x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + -3x + -8x = 4 + 8x + -8x Combine like terms: -3x + -8x = -11x 15 + -11x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -11x = 4 + 0 15 + -11x = 4 Add '-15' to each side of the equation. 15 + -15 + -11x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -11x = 4 + -15 -11x = 4 + -15 Combine like terms: 4 + -15 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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