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Simplifying (4x + -2) + (2x + 14) = 5x + 10 Reorder the terms: (-2 + 4x) + (2x + 14) = 5x + 10 Remove parenthesis around (-2 + 4x) -2 + 4x + (2x + 14) = 5x + 10 Reorder the terms: -2 + 4x + (14 + 2x) = 5x + 10 Remove parenthesis around (14 + 2x) -2 + 4x + 14 + 2x = 5x + 10 Reorder the terms: -2 + 14 + 4x + 2x = 5x + 10 Combine like terms: -2 + 14 = 12 12 + 4x + 2x = 5x + 10 Combine like terms: 4x + 2x = 6x 12 + 6x = 5x + 10 Reorder the terms: 12 + 6x = 10 + 5x Solving 12 + 6x = 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. 12 + 6x + -5x = 10 + 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 10 + 0 12 + 1x = 10 Add '-12' to each side of the equation. 12 + -12 + 1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 10 + -12 1x = 10 + -12 Combine like terms: 10 + -12 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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