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Simplifying 67 + -1(3x + 7) = 3(x + 6) + x Reorder the terms: 67 + -1(7 + 3x) = 3(x + 6) + x 67 + (7 * -1 + 3x * -1) = 3(x + 6) + x 67 + (-7 + -3x) = 3(x + 6) + x Combine like terms: 67 + -7 = 60 60 + -3x = 3(x + 6) + x Reorder the terms: 60 + -3x = 3(6 + x) + x 60 + -3x = (6 * 3 + x * 3) + x 60 + -3x = (18 + 3x) + x Combine like terms: 3x + x = 4x 60 + -3x = 18 + 4x Solving 60 + -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. 60 + -3x + -4x = 18 + 4x + -4x Combine like terms: -3x + -4x = -7x 60 + -7x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 60 + -7x = 18 + 0 60 + -7x = 18 Add '-60' to each side of the equation. 60 + -60 + -7x = 18 + -60 Combine like terms: 60 + -60 = 0 0 + -7x = 18 + -60 -7x = 18 + -60 Combine like terms: 18 + -60 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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