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Simplifying 12(0.75x + -0.5) = 8(0.5x + -1) Reorder the terms: 12(-0.5 + 0.75x) = 8(0.5x + -1) (-0.5 * 12 + 0.75x * 12) = 8(0.5x + -1) (-6 + 9x) = 8(0.5x + -1) Reorder the terms: -6 + 9x = 8(-1 + 0.5x) -6 + 9x = (-1 * 8 + 0.5x * 8) -6 + 9x = (-8 + 4x) Solving -6 + 9x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 9x + -4x = -8 + 4x + -4x Combine like terms: 9x + -4x = 5x -6 + 5x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 5x = -8 + 0 -6 + 5x = -8 Add '6' to each side of the equation. -6 + 6 + 5x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = -8 + 6 5x = -8 + 6 Combine like terms: -8 + 6 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4
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