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Simplifying 8 + -1(2x + 4) = 3(2x + -4) Reorder the terms: 8 + -1(4 + 2x) = 3(2x + -4) 8 + (4 * -1 + 2x * -1) = 3(2x + -4) 8 + (-4 + -2x) = 3(2x + -4) Combine like terms: 8 + -4 = 4 4 + -2x = 3(2x + -4) Reorder the terms: 4 + -2x = 3(-4 + 2x) 4 + -2x = (-4 * 3 + 2x * 3) 4 + -2x = (-12 + 6x) Solving 4 + -2x = -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. 4 + -2x + -6x = -12 + 6x + -6x Combine like terms: -2x + -6x = -8x 4 + -8x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -8x = -12 + 0 4 + -8x = -12 Add '-4' to each side of the equation. 4 + -4 + -8x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -12 + -4 -8x = -12 + -4 Combine like terms: -12 + -4 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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