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Simplifying 5(2x + 1) = -2(3x + -5) Reorder the terms: 5(1 + 2x) = -2(3x + -5) (1 * 5 + 2x * 5) = -2(3x + -5) (5 + 10x) = -2(3x + -5) Reorder the terms: 5 + 10x = -2(-5 + 3x) 5 + 10x = (-5 * -2 + 3x * -2) 5 + 10x = (10 + -6x) Solving 5 + 10x = 10 + -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. 5 + 10x + 6x = 10 + -6x + 6x Combine like terms: 10x + 6x = 16x 5 + 16x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 16x = 10 + 0 5 + 16x = 10 Add '-5' to each side of the equation. 5 + -5 + 16x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 16x = 10 + -5 16x = 10 + -5 Combine like terms: 10 + -5 = 5 16x = 5 Divide each side by '16'. x = 0.3125 Simplifying x = 0.3125
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