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Simplifying 0.75(8x + -12) = 5x + -2 Reorder the terms: 0.75(-12 + 8x) = 5x + -2 (-12 * 0.75 + 8x * 0.75) = 5x + -2 (-9 + 6x) = 5x + -2 Reorder the terms: -9 + 6x = -2 + 5x Solving -9 + 6x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 6x + -5x = -2 + 5x + -5x Combine like terms: 6x + -5x = 1x -9 + 1x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + 1x = -2 + 0 -9 + 1x = -2 Add '9' to each side of the equation. -9 + 9 + 1x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = -2 + 9 1x = -2 + 9 Combine like terms: -2 + 9 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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