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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 = -11x 9 + -11x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -11x = -2 + 0 9 + -11x = -2 Add '-9' to each side of the equation. 9 + -9 + -11x = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = -2 + -9 -11x = -2 + -9 Combine like terms: -2 + -9 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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