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Simplifying 2(3x + 5) = 5(2x + -1) Reorder the terms: 2(5 + 3x) = 5(2x + -1) (5 * 2 + 3x * 2) = 5(2x + -1) (10 + 6x) = 5(2x + -1) Reorder the terms: 10 + 6x = 5(-1 + 2x) 10 + 6x = (-1 * 5 + 2x * 5) 10 + 6x = (-5 + 10x) Solving 10 + 6x = -5 + 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. 10 + 6x + -10x = -5 + 10x + -10x Combine like terms: 6x + -10x = -4x 10 + -4x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -4x = -5 + 0 10 + -4x = -5 Add '-10' to each side of the equation. 10 + -10 + -4x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -5 + -10 -4x = -5 + -10 Combine like terms: -5 + -10 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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