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Simplifying 8x + 10 = 5x + -2 Reorder the terms: 10 + 8x = 5x + -2 Reorder the terms: 10 + 8x = -2 + 5x Solving 10 + 8x = -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. 10 + 8x + -5x = -2 + 5x + -5x Combine like terms: 8x + -5x = 3x 10 + 3x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 3x = -2 + 0 10 + 3x = -2 Add '-10' to each side of the equation. 10 + -10 + 3x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = -2 + -10 3x = -2 + -10 Combine like terms: -2 + -10 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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