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Simplifying 2(3x + 5) + -2(x + 1) = 20 Reorder the terms: 2(5 + 3x) + -2(x + 1) = 20 (5 * 2 + 3x * 2) + -2(x + 1) = 20 (10 + 6x) + -2(x + 1) = 20 Reorder the terms: 10 + 6x + -2(1 + x) = 20 10 + 6x + (1 * -2 + x * -2) = 20 10 + 6x + (-2 + -2x) = 20 Reorder the terms: 10 + -2 + 6x + -2x = 20 Combine like terms: 10 + -2 = 8 8 + 6x + -2x = 20 Combine like terms: 6x + -2x = 4x 8 + 4x = 20 Solving 8 + 4x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 20 + -8 4x = 20 + -8 Combine like terms: 20 + -8 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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