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Simplifying 8(x + -1) + -2(3x + 4) = 0 Reorder the terms: 8(-1 + x) + -2(3x + 4) = 0 (-1 * 8 + x * 8) + -2(3x + 4) = 0 (-8 + 8x) + -2(3x + 4) = 0 Reorder the terms: -8 + 8x + -2(4 + 3x) = 0 -8 + 8x + (4 * -2 + 3x * -2) = 0 -8 + 8x + (-8 + -6x) = 0 Reorder the terms: -8 + -8 + 8x + -6x = 0 Combine like terms: -8 + -8 = -16 -16 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x -16 + 2x = 0 Solving -16 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = 0 + 16 2x = 0 + 16 Combine like terms: 0 + 16 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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