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Simplifying 5(x + -2) = 3(10 + x) Reorder the terms: 5(-2 + x) = 3(10 + x) (-2 * 5 + x * 5) = 3(10 + x) (-10 + 5x) = 3(10 + x) -10 + 5x = (10 * 3 + x * 3) -10 + 5x = (30 + 3x) Solving -10 + 5x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 5x + -3x = 30 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = 30 + 0 -10 + 2x = 30 Add '10' to each side of the equation. -10 + 10 + 2x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 30 + 10 2x = 30 + 10 Combine like terms: 30 + 10 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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