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Simplifying 5(2x + 3) = 2x + -1(3x + 4) Reorder the terms: 5(3 + 2x) = 2x + -1(3x + 4) (3 * 5 + 2x * 5) = 2x + -1(3x + 4) (15 + 10x) = 2x + -1(3x + 4) Reorder the terms: 15 + 10x = 2x + -1(4 + 3x) 15 + 10x = 2x + (4 * -1 + 3x * -1) 15 + 10x = 2x + (-4 + -3x) Reorder the terms: 15 + 10x = -4 + 2x + -3x Combine like terms: 2x + -3x = -1x 15 + 10x = -4 + -1x Solving 15 + 10x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + 10x + x = -4 + -1x + x Combine like terms: 10x + x = 11x 15 + 11x = -4 + -1x + x Combine like terms: -1x + x = 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 = -19 11x = -19 Divide each side by '11'. x = -1.727272727 Simplifying x = -1.727272727
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