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Simplifying 8 + -4(2x + -3) + -1(5x + 7) = 39 Reorder the terms: 8 + -4(-3 + 2x) + -1(5x + 7) = 39 8 + (-3 * -4 + 2x * -4) + -1(5x + 7) = 39 8 + (12 + -8x) + -1(5x + 7) = 39 Reorder the terms: 8 + 12 + -8x + -1(7 + 5x) = 39 8 + 12 + -8x + (7 * -1 + 5x * -1) = 39 8 + 12 + -8x + (-7 + -5x) = 39 Reorder the terms: 8 + 12 + -7 + -8x + -5x = 39 Combine like terms: 8 + 12 = 20 20 + -7 + -8x + -5x = 39 Combine like terms: 20 + -7 = 13 13 + -8x + -5x = 39 Combine like terms: -8x + -5x = -13x 13 + -13x = 39 Solving 13 + -13x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -13x = 39 + -13 Combine like terms: 13 + -13 = 0 0 + -13x = 39 + -13 -13x = 39 + -13 Combine like terms: 39 + -13 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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