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Simplifying -4(x + -2) + 2x = 6(2x + -4) + -22 Reorder the terms: -4(-2 + x) + 2x = 6(2x + -4) + -22 (-2 * -4 + x * -4) + 2x = 6(2x + -4) + -22 (8 + -4x) + 2x = 6(2x + -4) + -22 Combine like terms: -4x + 2x = -2x 8 + -2x = 6(2x + -4) + -22 Reorder the terms: 8 + -2x = 6(-4 + 2x) + -22 8 + -2x = (-4 * 6 + 2x * 6) + -22 8 + -2x = (-24 + 12x) + -22 Reorder the terms: 8 + -2x = -24 + -22 + 12x Combine like terms: -24 + -22 = -46 8 + -2x = -46 + 12x Solving 8 + -2x = -46 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + -2x + -12x = -46 + 12x + -12x Combine like terms: -2x + -12x = -14x 8 + -14x = -46 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -14x = -46 + 0 8 + -14x = -46 Add '-8' to each side of the equation. 8 + -8 + -14x = -46 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = -46 + -8 -14x = -46 + -8 Combine like terms: -46 + -8 = -54 -14x = -54 Divide each side by '-14'. x = 3.857142857 Simplifying x = 3.857142857
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