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Simplifying 6(2 + -3x) = 2(4 + -2x) (2 * 6 + -3x * 6) = 2(4 + -2x) (12 + -18x) = 2(4 + -2x) 12 + -18x = (4 * 2 + -2x * 2) 12 + -18x = (8 + -4x) Solving 12 + -18x = 8 + -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. 12 + -18x + 4x = 8 + -4x + 4x Combine like terms: -18x + 4x = -14x 12 + -14x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + -14x = 8 + 0 12 + -14x = 8 Add '-12' to each side of the equation. 12 + -12 + -14x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = 8 + -12 -14x = 8 + -12 Combine like terms: 8 + -12 = -4 -14x = -4 Divide each side by '-14'. x = 0.2857142857 Simplifying x = 0.2857142857
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