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Simplifying 5(2x + 1) = 5(3x + -2) Reorder the terms: 5(1 + 2x) = 5(3x + -2) (1 * 5 + 2x * 5) = 5(3x + -2) (5 + 10x) = 5(3x + -2) Reorder the terms: 5 + 10x = 5(-2 + 3x) 5 + 10x = (-2 * 5 + 3x * 5) 5 + 10x = (-10 + 15x) Solving 5 + 10x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 5 + 10x + -15x = -10 + 15x + -15x Combine like terms: 10x + -15x = -5x 5 + -5x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -5x = -10 + 0 5 + -5x = -10 Add '-5' to each side of the equation. 5 + -5 + -5x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -10 + -5 -5x = -10 + -5 Combine like terms: -10 + -5 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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