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Simplifying 4(x + 2) + -1(2x + -6) = x Reorder the terms: 4(2 + x) + -1(2x + -6) = x (2 * 4 + x * 4) + -1(2x + -6) = x (8 + 4x) + -1(2x + -6) = x Reorder the terms: 8 + 4x + -1(-6 + 2x) = x 8 + 4x + (-6 * -1 + 2x * -1) = x 8 + 4x + (6 + -2x) = x Reorder the terms: 8 + 6 + 4x + -2x = x Combine like terms: 8 + 6 = 14 14 + 4x + -2x = x Combine like terms: 4x + -2x = 2x 14 + 2x = x Solving 14 + 2x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + 2x + -1x = x + -1x Combine like terms: 2x + -1x = 1x 14 + 1x = x + -1x Combine like terms: x + -1x = 0 14 + 1x = 0 Add '-14' to each side of the equation. 14 + -14 + 1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 0 + -14 1x = 0 + -14 Combine like terms: 0 + -14 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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