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Simplifying x + -3x + -8 = -15 + -2x + 7x Reorder the terms: -8 + x + -3x = -15 + -2x + 7x Combine like terms: x + -3x = -2x -8 + -2x = -15 + -2x + 7x Combine like terms: -2x + 7x = 5x -8 + -2x = -15 + 5x Solving -8 + -2x = -15 + 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. -8 + -2x + -5x = -15 + 5x + -5x Combine like terms: -2x + -5x = -7x -8 + -7x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -7x = -15 + 0 -8 + -7x = -15 Add '8' to each side of the equation. -8 + 8 + -7x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -15 + 8 -7x = -15 + 8 Combine like terms: -15 + 8 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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