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Simplifying 39 + -1(3x + 7) = 2(x + 4) + x Reorder the terms: 39 + -1(7 + 3x) = 2(x + 4) + x 39 + (7 * -1 + 3x * -1) = 2(x + 4) + x 39 + (-7 + -3x) = 2(x + 4) + x Combine like terms: 39 + -7 = 32 32 + -3x = 2(x + 4) + x Reorder the terms: 32 + -3x = 2(4 + x) + x 32 + -3x = (4 * 2 + x * 2) + x 32 + -3x = (8 + 2x) + x Combine like terms: 2x + x = 3x 32 + -3x = 8 + 3x Solving 32 + -3x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 32 + -3x + -3x = 8 + 3x + -3x Combine like terms: -3x + -3x = -6x 32 + -6x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 32 + -6x = 8 + 0 32 + -6x = 8 Add '-32' to each side of the equation. 32 + -32 + -6x = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = 8 + -32 -6x = 8 + -32 Combine like terms: 8 + -32 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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