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Simplifying -2x + -13 = 7x + -1(2x + -8) Reorder the terms: -13 + -2x = 7x + -1(2x + -8) Reorder the terms: -13 + -2x = 7x + -1(-8 + 2x) -13 + -2x = 7x + (-8 * -1 + 2x * -1) -13 + -2x = 7x + (8 + -2x) Reorder the terms: -13 + -2x = 8 + 7x + -2x Combine like terms: 7x + -2x = 5x -13 + -2x = 8 + 5x Solving -13 + -2x = 8 + 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. -13 + -2x + -5x = 8 + 5x + -5x Combine like terms: -2x + -5x = -7x -13 + -7x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -7x = 8 + 0 -13 + -7x = 8 Add '13' to each side of the equation. -13 + 13 + -7x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 8 + 13 -7x = 8 + 13 Combine like terms: 8 + 13 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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