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Simplifying 4(x + 2) + -2x = x + -6 Reorder the terms: 4(2 + x) + -2x = x + -6 (2 * 4 + x * 4) + -2x = x + -6 (8 + 4x) + -2x = x + -6 Combine like terms: 4x + -2x = 2x 8 + 2x = x + -6 Reorder the terms: 8 + 2x = -6 + x Solving 8 + 2x = -6 + 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. 8 + 2x + -1x = -6 + x + -1x Combine like terms: 2x + -1x = 1x 8 + 1x = -6 + x + -1x Combine like terms: x + -1x = 0 8 + 1x = -6 + 0 8 + 1x = -6 Add '-8' to each side of the equation. 8 + -8 + 1x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -6 + -8 1x = -6 + -8 Combine like terms: -6 + -8 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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