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