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Simplifying 3 + -2(4x + -1) = -3(2x + -4) Reorder the terms: 3 + -2(-1 + 4x) = -3(2x + -4) 3 + (-1 * -2 + 4x * -2) = -3(2x + -4) 3 + (2 + -8x) = -3(2x + -4) Combine like terms: 3 + 2 = 5 5 + -8x = -3(2x + -4) Reorder the terms: 5 + -8x = -3(-4 + 2x) 5 + -8x = (-4 * -3 + 2x * -3) 5 + -8x = (12 + -6x) Solving 5 + -8x = 12 + -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. 5 + -8x + 6x = 12 + -6x + 6x Combine like terms: -8x + 6x = -2x 5 + -2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + -2x = 12 + 0 5 + -2x = 12 Add '-5' to each side of the equation. 5 + -5 + -2x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 12 + -5 -2x = 12 + -5 Combine like terms: 12 + -5 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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