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Simplifying 80 + -1(3x + 13) = 3(x + 6) + x Reorder the terms: 80 + -1(13 + 3x) = 3(x + 6) + x 80 + (13 * -1 + 3x * -1) = 3(x + 6) + x 80 + (-13 + -3x) = 3(x + 6) + x Combine like terms: 80 + -13 = 67 67 + -3x = 3(x + 6) + x Reorder the terms: 67 + -3x = 3(6 + x) + x 67 + -3x = (6 * 3 + x * 3) + x 67 + -3x = (18 + 3x) + x Combine like terms: 3x + x = 4x 67 + -3x = 18 + 4x Solving 67 + -3x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 67 + -3x + -4x = 18 + 4x + -4x Combine like terms: -3x + -4x = -7x 67 + -7x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 67 + -7x = 18 + 0 67 + -7x = 18 Add '-67' to each side of the equation. 67 + -67 + -7x = 18 + -67 Combine like terms: 67 + -67 = 0 0 + -7x = 18 + -67 -7x = 18 + -67 Combine like terms: 18 + -67 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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