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Simplifying 39 + -1(3x + 12) = 3(x + 2) + x Reorder the terms: 39 + -1(12 + 3x) = 3(x + 2) + x 39 + (12 * -1 + 3x * -1) = 3(x + 2) + x 39 + (-12 + -3x) = 3(x + 2) + x Combine like terms: 39 + -12 = 27 27 + -3x = 3(x + 2) + x Reorder the terms: 27 + -3x = 3(2 + x) + x 27 + -3x = (2 * 3 + x * 3) + x 27 + -3x = (6 + 3x) + x Combine like terms: 3x + x = 4x 27 + -3x = 6 + 4x Solving 27 + -3x = 6 + 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. 27 + -3x + -4x = 6 + 4x + -4x Combine like terms: -3x + -4x = -7x 27 + -7x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -7x = 6 + 0 27 + -7x = 6 Add '-27' to each side of the equation. 27 + -27 + -7x = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = 6 + -27 -7x = 6 + -27 Combine like terms: 6 + -27 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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