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Simplifying 5x + 2 + -8x = 12 + -2x Reorder the terms: 2 + 5x + -8x = 12 + -2x Combine like terms: 5x + -8x = -3x 2 + -3x = 12 + -2x Solving 2 + -3x = 12 + -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. 2 + -3x + 2x = 12 + -2x + 2x Combine like terms: -3x + 2x = -1x 2 + -1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + -1x = 12 + 0 2 + -1x = 12 Add '-2' to each side of the equation. 2 + -2 + -1x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 12 + -2 -1x = 12 + -2 Combine like terms: 12 + -2 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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