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Simplifying -2(x + -4) + 4(x + -1) = 8(x + 3) Reorder the terms: -2(-4 + x) + 4(x + -1) = 8(x + 3) (-4 * -2 + x * -2) + 4(x + -1) = 8(x + 3) (8 + -2x) + 4(x + -1) = 8(x + 3) Reorder the terms: 8 + -2x + 4(-1 + x) = 8(x + 3) 8 + -2x + (-1 * 4 + x * 4) = 8(x + 3) 8 + -2x + (-4 + 4x) = 8(x + 3) Reorder the terms: 8 + -4 + -2x + 4x = 8(x + 3) Combine like terms: 8 + -4 = 4 4 + -2x + 4x = 8(x + 3) Combine like terms: -2x + 4x = 2x 4 + 2x = 8(x + 3) Reorder the terms: 4 + 2x = 8(3 + x) 4 + 2x = (3 * 8 + x * 8) 4 + 2x = (24 + 8x) Solving 4 + 2x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 2x + -8x = 24 + 8x + -8x Combine like terms: 2x + -8x = -6x 4 + -6x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -6x = 24 + 0 4 + -6x = 24 Add '-4' to each side of the equation. 4 + -4 + -6x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 24 + -4 -6x = 24 + -4 Combine like terms: 24 + -4 = 20 -6x = 20 Divide each side by '-6'. x = -3.333333333 Simplifying x = -3.333333333
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