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Simplifying -3(-2x + -4) = 2(7 + -3x) + -5 Reorder the terms: -3(-4 + -2x) = 2(7 + -3x) + -5 (-4 * -3 + -2x * -3) = 2(7 + -3x) + -5 (12 + 6x) = 2(7 + -3x) + -5 12 + 6x = (7 * 2 + -3x * 2) + -5 12 + 6x = (14 + -6x) + -5 Reorder the terms: 12 + 6x = 14 + -5 + -6x Combine like terms: 14 + -5 = 9 12 + 6x = 9 + -6x Solving 12 + 6x = 9 + -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. 12 + 6x + 6x = 9 + -6x + 6x Combine like terms: 6x + 6x = 12x 12 + 12x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 12x = 9 + 0 12 + 12x = 9 Add '-12' to each side of the equation. 12 + -12 + 12x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 9 + -12 12x = 9 + -12 Combine like terms: 9 + -12 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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