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Simplifying 5x + -10x + 2 = -2x + 20 + -18 Reorder the terms: 2 + 5x + -10x = -2x + 20 + -18 Combine like terms: 5x + -10x = -5x 2 + -5x = -2x + 20 + -18 Reorder the terms: 2 + -5x = 20 + -18 + -2x Combine like terms: 20 + -18 = 2 2 + -5x = 2 + -2x Add '-2' to each side of the equation. 2 + -2 + -5x = 2 + -2 + -2x Combine like terms: 2 + -2 = 0 0 + -5x = 2 + -2 + -2x -5x = 2 + -2 + -2x Combine like terms: 2 + -2 = 0 -5x = 0 + -2x -5x = -2x Solving -5x = -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. -5x + 2x = -2x + 2x Combine like terms: -5x + 2x = -3x -3x = -2x + 2x Combine like terms: -2x + 2x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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