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Simplifying -3x + 10 = -5x + -8 Reorder the terms: 10 + -3x = -5x + -8 Reorder the terms: 10 + -3x = -8 + -5x Solving 10 + -3x = -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. 10 + -3x + 5x = -8 + -5x + 5x Combine like terms: -3x + 5x = 2x 10 + 2x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 2x = -8 + 0 10 + 2x = -8 Add '-10' to each side of the equation. 10 + -10 + 2x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -8 + -10 2x = -8 + -10 Combine like terms: -8 + -10 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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