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Simplifying 6(x + 10) + -2(2x + 30) = 40 Reorder the terms: 6(10 + x) + -2(2x + 30) = 40 (10 * 6 + x * 6) + -2(2x + 30) = 40 (60 + 6x) + -2(2x + 30) = 40 Reorder the terms: 60 + 6x + -2(30 + 2x) = 40 60 + 6x + (30 * -2 + 2x * -2) = 40 60 + 6x + (-60 + -4x) = 40 Reorder the terms: 60 + -60 + 6x + -4x = 40 Combine like terms: 60 + -60 = 0 0 + 6x + -4x = 40 6x + -4x = 40 Combine like terms: 6x + -4x = 2x 2x = 40 Solving 2x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 20 Simplifying x = 20
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