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Simplifying -3x + 7 = 6 + -1(5x + 8) Reorder the terms: 7 + -3x = 6 + -1(5x + 8) Reorder the terms: 7 + -3x = 6 + -1(8 + 5x) 7 + -3x = 6 + (8 * -1 + 5x * -1) 7 + -3x = 6 + (-8 + -5x) Combine like terms: 6 + -8 = -2 7 + -3x = -2 + -5x Solving 7 + -3x = -2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 7 + -3x + 5x = -2 + -5x + 5x Combine like terms: -3x + 5x = 2x 7 + 2x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 2x = -2 + 0 7 + 2x = -2 Add '-7' to each side of the equation. 7 + -7 + 2x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -2 + -7 2x = -2 + -7 Combine like terms: -2 + -7 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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