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Simplifying -2(x + 4) + -4(x + -8) = 2(x + 1) Reorder the terms: -2(4 + x) + -4(x + -8) = 2(x + 1) (4 * -2 + x * -2) + -4(x + -8) = 2(x + 1) (-8 + -2x) + -4(x + -8) = 2(x + 1) Reorder the terms: -8 + -2x + -4(-8 + x) = 2(x + 1) -8 + -2x + (-8 * -4 + x * -4) = 2(x + 1) -8 + -2x + (32 + -4x) = 2(x + 1) Reorder the terms: -8 + 32 + -2x + -4x = 2(x + 1) Combine like terms: -8 + 32 = 24 24 + -2x + -4x = 2(x + 1) Combine like terms: -2x + -4x = -6x 24 + -6x = 2(x + 1) Reorder the terms: 24 + -6x = 2(1 + x) 24 + -6x = (1 * 2 + x * 2) 24 + -6x = (2 + 2x) Solving 24 + -6x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + -6x + -2x = 2 + 2x + -2x Combine like terms: -6x + -2x = -8x 24 + -8x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + -8x = 2 + 0 24 + -8x = 2 Add '-24' to each side of the equation. 24 + -24 + -8x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 2 + -24 -8x = 2 + -24 Combine like terms: 2 + -24 = -22 -8x = -22 Divide each side by '-8'. x = 2.75 Simplifying x = 2.75
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