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Simplifying 2(x + -4) + 5(x + 1) + -8(x + -4) = 0 Reorder the terms: 2(-4 + x) + 5(x + 1) + -8(x + -4) = 0 (-4 * 2 + x * 2) + 5(x + 1) + -8(x + -4) = 0 (-8 + 2x) + 5(x + 1) + -8(x + -4) = 0 Reorder the terms: -8 + 2x + 5(1 + x) + -8(x + -4) = 0 -8 + 2x + (1 * 5 + x * 5) + -8(x + -4) = 0 -8 + 2x + (5 + 5x) + -8(x + -4) = 0 Reorder the terms: -8 + 2x + 5 + 5x + -8(-4 + x) = 0 -8 + 2x + 5 + 5x + (-4 * -8 + x * -8) = 0 -8 + 2x + 5 + 5x + (32 + -8x) = 0 Reorder the terms: -8 + 5 + 32 + 2x + 5x + -8x = 0 Combine like terms: -8 + 5 = -3 -3 + 32 + 2x + 5x + -8x = 0 Combine like terms: -3 + 32 = 29 29 + 2x + 5x + -8x = 0 Combine like terms: 2x + 5x = 7x 29 + 7x + -8x = 0 Combine like terms: 7x + -8x = -1x 29 + -1x = 0 Solving 29 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 0 + -29 -1x = 0 + -29 Combine like terms: 0 + -29 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29
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