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Simplifying 8x + 10 + -5x = 8 + 2x + -10 Reorder the terms: 10 + 8x + -5x = 8 + 2x + -10 Combine like terms: 8x + -5x = 3x 10 + 3x = 8 + 2x + -10 Reorder the terms: 10 + 3x = 8 + -10 + 2x Combine like terms: 8 + -10 = -2 10 + 3x = -2 + 2x Solving 10 + 3x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x 10 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 1x = -2 + 0 10 + 1x = -2 Add '-10' to each side of the equation. 10 + -10 + 1x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = -2 + -10 1x = -2 + -10 Combine like terms: -2 + -10 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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