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Simplifying -3(-4 + -2x) + 1 = 6(2x + -4) (-4 * -3 + -2x * -3) + 1 = 6(2x + -4) (12 + 6x) + 1 = 6(2x + -4) Reorder the terms: 12 + 1 + 6x = 6(2x + -4) Combine like terms: 12 + 1 = 13 13 + 6x = 6(2x + -4) Reorder the terms: 13 + 6x = 6(-4 + 2x) 13 + 6x = (-4 * 6 + 2x * 6) 13 + 6x = (-24 + 12x) Solving 13 + 6x = -24 + 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. 13 + 6x + -12x = -24 + 12x + -12x Combine like terms: 6x + -12x = -6x 13 + -6x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -6x = -24 + 0 13 + -6x = -24 Add '-13' to each side of the equation. 13 + -13 + -6x = -24 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = -24 + -13 -6x = -24 + -13 Combine like terms: -24 + -13 = -37 -6x = -37 Divide each side by '-6'. x = 6.166666667 Simplifying x = 6.166666667
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