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