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Simplifying 2x + -1x + 10 = 5x + -2 Reorder the terms: 10 + 2x + -1x = 5x + -2 Combine like terms: 2x + -1x = 1x 10 + 1x = 5x + -2 Reorder the terms: 10 + 1x = -2 + 5x Solving 10 + 1x = -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 + 1x + -5x = -2 + 5x + -5x Combine like terms: 1x + -5x = -4x 10 + -4x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -4x = -2 + 0 10 + -4x = -2 Add '-10' to each side of the equation. 10 + -10 + -4x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -2 + -10 -4x = -2 + -10 Combine like terms: -2 + -10 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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