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Simplifying 2 + -2x = 6(x + -4) Reorder the terms: 2 + -2x = 6(-4 + x) 2 + -2x = (-4 * 6 + x * 6) 2 + -2x = (-24 + 6x) Solving 2 + -2x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -2x + -6x = -24 + 6x + -6x Combine like terms: -2x + -6x = -8x 2 + -8x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -8x = -24 + 0 2 + -8x = -24 Add '-2' to each side of the equation. 2 + -2 + -8x = -24 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -24 + -2 -8x = -24 + -2 Combine like terms: -24 + -2 = -26 -8x = -26 Divide each side by '-8'. x = 3.25 Simplifying x = 3.25
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