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Simplifying x + -15 = 8x + -1(2x + -10) Reorder the terms: -15 + x = 8x + -1(2x + -10) Reorder the terms: -15 + x = 8x + -1(-10 + 2x) -15 + x = 8x + (-10 * -1 + 2x * -1) -15 + x = 8x + (10 + -2x) Reorder the terms: -15 + x = 10 + 8x + -2x Combine like terms: 8x + -2x = 6x -15 + x = 10 + 6x Solving -15 + x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + x + -6x = 10 + 6x + -6x Combine like terms: x + -6x = -5x -15 + -5x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -5x = 10 + 0 -15 + -5x = 10 Add '15' to each side of the equation. -15 + 15 + -5x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 10 + 15 -5x = 10 + 15 Combine like terms: 10 + 15 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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