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Simplifying (6x + 10) + (-2x + 8) = 2x Reorder the terms: (10 + 6x) + (-2x + 8) = 2x Remove parenthesis around (10 + 6x) 10 + 6x + (-2x + 8) = 2x Reorder the terms: 10 + 6x + (8 + -2x) = 2x Remove parenthesis around (8 + -2x) 10 + 6x + 8 + -2x = 2x Reorder the terms: 10 + 8 + 6x + -2x = 2x Combine like terms: 10 + 8 = 18 18 + 6x + -2x = 2x Combine like terms: 6x + -2x = 4x 18 + 4x = 2x Solving 18 + 4x = 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. 18 + 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 18 + 2x = 2x + -2x Combine like terms: 2x + -2x = 0 18 + 2x = 0 Add '-18' to each side of the equation. 18 + -18 + 2x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 0 + -18 2x = 0 + -18 Combine like terms: 0 + -18 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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