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Simplifying 3(2x + 5) = 2(5x + -2) Reorder the terms: 3(5 + 2x) = 2(5x + -2) (5 * 3 + 2x * 3) = 2(5x + -2) (15 + 6x) = 2(5x + -2) Reorder the terms: 15 + 6x = 2(-2 + 5x) 15 + 6x = (-2 * 2 + 5x * 2) 15 + 6x = (-4 + 10x) Solving 15 + 6x = -4 + 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. 15 + 6x + -10x = -4 + 10x + -10x Combine like terms: 6x + -10x = -4x 15 + -4x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -4x = -4 + 0 15 + -4x = -4 Add '-15' to each side of the equation. 15 + -15 + -4x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -4 + -15 -4x = -4 + -15 Combine like terms: -4 + -15 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75
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