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Simplifying 5(2x + 3) = -3(2x + 1) Reorder the terms: 5(3 + 2x) = -3(2x + 1) (3 * 5 + 2x * 5) = -3(2x + 1) (15 + 10x) = -3(2x + 1) Reorder the terms: 15 + 10x = -3(1 + 2x) 15 + 10x = (1 * -3 + 2x * -3) 15 + 10x = (-3 + -6x) Solving 15 + 10x = -3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + 10x + 6x = -3 + -6x + 6x Combine like terms: 10x + 6x = 16x 15 + 16x = -3 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 16x = -3 + 0 15 + 16x = -3 Add '-15' to each side of the equation. 15 + -15 + 16x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 16x = -3 + -15 16x = -3 + -15 Combine like terms: -3 + -15 = -18 16x = -18 Divide each side by '16'. x = -1.125 Simplifying x = -1.125
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