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Simplifying 2(x + 3) + 4(x + -1) = 80 Reorder the terms: 2(3 + x) + 4(x + -1) = 80 (3 * 2 + x * 2) + 4(x + -1) = 80 (6 + 2x) + 4(x + -1) = 80 Reorder the terms: 6 + 2x + 4(-1 + x) = 80 6 + 2x + (-1 * 4 + x * 4) = 80 6 + 2x + (-4 + 4x) = 80 Reorder the terms: 6 + -4 + 2x + 4x = 80 Combine like terms: 6 + -4 = 2 2 + 2x + 4x = 80 Combine like terms: 2x + 4x = 6x 2 + 6x = 80 Solving 2 + 6x = 80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 6x = 80 + -2 Combine like terms: 2 + -2 = 0 0 + 6x = 80 + -2 6x = 80 + -2 Combine like terms: 80 + -2 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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