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Simplifying 5x + -4x + 10 = 2x + -10 + 2 Reorder the terms: 10 + 5x + -4x = 2x + -10 + 2 Combine like terms: 5x + -4x = 1x 10 + 1x = 2x + -10 + 2 Reorder the terms: 10 + 1x = -10 + 2 + 2x Combine like terms: -10 + 2 = -8 10 + 1x = -8 + 2x Solving 10 + 1x = -8 + 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 + 1x + -2x = -8 + 2x + -2x Combine like terms: 1x + -2x = -1x 10 + -1x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -1x = -8 + 0 10 + -1x = -8 Add '-10' to each side of the equation. 10 + -10 + -1x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -8 + -10 -1x = -8 + -10 Combine like terms: -8 + -10 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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