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Simplifying 6(2 + -4x) = 5 + -1(3 + 2x) (2 * 6 + -4x * 6) = 5 + -1(3 + 2x) (12 + -24x) = 5 + -1(3 + 2x) 12 + -24x = 5 + (3 * -1 + 2x * -1) 12 + -24x = 5 + (-3 + -2x) Combine like terms: 5 + -3 = 2 12 + -24x = 2 + -2x Solving 12 + -24x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + -24x + 2x = 2 + -2x + 2x Combine like terms: -24x + 2x = -22x 12 + -22x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -22x = 2 + 0 12 + -22x = 2 Add '-12' to each side of the equation. 12 + -12 + -22x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -22x = 2 + -12 -22x = 2 + -12 Combine like terms: 2 + -12 = -10 -22x = -10 Divide each side by '-22'. x = 0.4545454545 Simplifying x = 0.4545454545
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