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Simplifying 5(2x + 1) = 3(2x + -5) Reorder the terms: 5(1 + 2x) = 3(2x + -5) (1 * 5 + 2x * 5) = 3(2x + -5) (5 + 10x) = 3(2x + -5) Reorder the terms: 5 + 10x = 3(-5 + 2x) 5 + 10x = (-5 * 3 + 2x * 3) 5 + 10x = (-15 + 6x) Solving 5 + 10x = -15 + 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 = -15 + 6x + -6x Combine like terms: 10x + -6x = 4x 5 + 4x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 4x = -15 + 0 5 + 4x = -15 Add '-5' to each side of the equation. 5 + -5 + 4x = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = -15 + -5 4x = -15 + -5 Combine like terms: -15 + -5 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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