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Simplifying (6x + 4x) + -1(2x + 6) = 2x Combine like terms: 6x + 4x = 10x (10x) + -1(2x + 6) = 2x (10x) + -1(2x + 6) = 2x Reorder the terms: (10x) + -1(6 + 2x) = 2x (10x) + (6 * -1 + 2x * -1) = 2x (10x) + (-6 + -2x) = 2x Reorder the terms: -6 + (10x) + -2x = 2x Combine like terms: (10x) + -2x = 8x -6 + 8x = 2x Solving -6 + 8x = 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. -6 + 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x -6 + 6x = 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 6x = 0 Add '6' to each side of the equation. -6 + 6 + 6x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 0 + 6 6x = 0 + 6 Combine like terms: 0 + 6 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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