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Simplifying 0 = (5x + 7) + -1(3x + -8) Reorder the terms: 0 = (7 + 5x) + -1(3x + -8) Remove parenthesis around (7 + 5x) 0 = 7 + 5x + -1(3x + -8) Reorder the terms: 0 = 7 + 5x + -1(-8 + 3x) 0 = 7 + 5x + (-8 * -1 + 3x * -1) 0 = 7 + 5x + (8 + -3x) Reorder the terms: 0 = 7 + 8 + 5x + -3x Combine like terms: 7 + 8 = 15 0 = 15 + 5x + -3x Combine like terms: 5x + -3x = 2x 0 = 15 + 2x Solving 0 = 15 + 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. 0 + -2x = 15 + 2x + -2x Remove the zero: -2x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -2x = 15 + 0 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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