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Simplifying 2(x + 15) + 2(x + -10) = 130 Reorder the terms: 2(15 + x) + 2(x + -10) = 130 (15 * 2 + x * 2) + 2(x + -10) = 130 (30 + 2x) + 2(x + -10) = 130 Reorder the terms: 30 + 2x + 2(-10 + x) = 130 30 + 2x + (-10 * 2 + x * 2) = 130 30 + 2x + (-20 + 2x) = 130 Reorder the terms: 30 + -20 + 2x + 2x = 130 Combine like terms: 30 + -20 = 10 10 + 2x + 2x = 130 Combine like terms: 2x + 2x = 4x 10 + 4x = 130 Solving 10 + 4x = 130 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4x = 130 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 130 + -10 4x = 130 + -10 Combine like terms: 130 + -10 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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