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Simplifying -6(3x + -4) = -2(2x + 2) Reorder the terms: -6(-4 + 3x) = -2(2x + 2) (-4 * -6 + 3x * -6) = -2(2x + 2) (24 + -18x) = -2(2x + 2) Reorder the terms: 24 + -18x = -2(2 + 2x) 24 + -18x = (2 * -2 + 2x * -2) 24 + -18x = (-4 + -4x) Solving 24 + -18x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + -18x + 4x = -4 + -4x + 4x Combine like terms: -18x + 4x = -14x 24 + -14x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + -14x = -4 + 0 24 + -14x = -4 Add '-24' to each side of the equation. 24 + -24 + -14x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = -4 + -24 -14x = -4 + -24 Combine like terms: -4 + -24 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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