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Simplifying 5 = -1(8 + 5x) + 3(x + -7) 5 = (8 * -1 + 5x * -1) + 3(x + -7) 5 = (-8 + -5x) + 3(x + -7) Reorder the terms: 5 = -8 + -5x + 3(-7 + x) 5 = -8 + -5x + (-7 * 3 + x * 3) 5 = -8 + -5x + (-21 + 3x) Reorder the terms: 5 = -8 + -21 + -5x + 3x Combine like terms: -8 + -21 = -29 5 = -29 + -5x + 3x Combine like terms: -5x + 3x = -2x 5 = -29 + -2x Solving 5 = -29 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 2x = -29 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 2x = -29 + 0 5 + 2x = -29 Add '-5' to each side of the equation. 5 + -5 + 2x = -29 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = -29 + -5 2x = -29 + -5 Combine like terms: -29 + -5 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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