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Simplifying 4(x + -8) = 2(8x + 9) Reorder the terms: 4(-8 + x) = 2(8x + 9) (-8 * 4 + x * 4) = 2(8x + 9) (-32 + 4x) = 2(8x + 9) Reorder the terms: -32 + 4x = 2(9 + 8x) -32 + 4x = (9 * 2 + 8x * 2) -32 + 4x = (18 + 16x) Solving -32 + 4x = 18 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -32 + 4x + -16x = 18 + 16x + -16x Combine like terms: 4x + -16x = -12x -32 + -12x = 18 + 16x + -16x Combine like terms: 16x + -16x = 0 -32 + -12x = 18 + 0 -32 + -12x = 18 Add '32' to each side of the equation. -32 + 32 + -12x = 18 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = 18 + 32 -12x = 18 + 32 Combine like terms: 18 + 32 = 50 -12x = 50 Divide each side by '-12'. x = -4.166666667 Simplifying x = -4.166666667
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