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Simplifying 39 = 6x + 3 + -1(7x + -17) Reorder the terms: 39 = 6x + 3 + -1(-17 + 7x) 39 = 6x + 3 + (-17 * -1 + 7x * -1) 39 = 6x + 3 + (17 + -7x) Reorder the terms: 39 = 3 + 17 + 6x + -7x Combine like terms: 3 + 17 = 20 39 = 20 + 6x + -7x Combine like terms: 6x + -7x = -1x 39 = 20 + -1x Solving 39 = 20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 39 + x = 20 + -1x + x Combine like terms: -1x + x = 0 39 + x = 20 + 0 39 + x = 20 Add '-39' to each side of the equation. 39 + -39 + x = 20 + -39 Combine like terms: 39 + -39 = 0 0 + x = 20 + -39 x = 20 + -39 Combine like terms: 20 + -39 = -19 x = -19 Simplifying x = -19
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