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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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