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Simplifying 8(0.5x + -8) = 12(x + 6) Reorder the terms: 8(-8 + 0.5x) = 12(x + 6) (-8 * 8 + 0.5x * 8) = 12(x + 6) (-64 + 4x) = 12(x + 6) Reorder the terms: -64 + 4x = 12(6 + x) -64 + 4x = (6 * 12 + x * 12) -64 + 4x = (72 + 12x) Solving -64 + 4x = 72 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -64 + 4x + -12x = 72 + 12x + -12x Combine like terms: 4x + -12x = -8x -64 + -8x = 72 + 12x + -12x Combine like terms: 12x + -12x = 0 -64 + -8x = 72 + 0 -64 + -8x = 72 Add '64' to each side of the equation. -64 + 64 + -8x = 72 + 64 Combine like terms: -64 + 64 = 0 0 + -8x = 72 + 64 -8x = 72 + 64 Combine like terms: 72 + 64 = 136 -8x = 136 Divide each side by '-8'. x = -17 Simplifying x = -17
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