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Simplifying 3(2x + 1) = 5(2x + -5) Reorder the terms: 3(1 + 2x) = 5(2x + -5) (1 * 3 + 2x * 3) = 5(2x + -5) (3 + 6x) = 5(2x + -5) Reorder the terms: 3 + 6x = 5(-5 + 2x) 3 + 6x = (-5 * 5 + 2x * 5) 3 + 6x = (-25 + 10x) Solving 3 + 6x = -25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 6x + -10x = -25 + 10x + -10x Combine like terms: 6x + -10x = -4x 3 + -4x = -25 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -4x = -25 + 0 3 + -4x = -25 Add '-3' to each side of the equation. 3 + -3 + -4x = -25 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = -25 + -3 -4x = -25 + -3 Combine like terms: -25 + -3 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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