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Simplifying -12(x + -0.5) + 3 = -6x + 75 Reorder the terms: -12(-0.5 + x) + 3 = -6x + 75 (-0.5 * -12 + x * -12) + 3 = -6x + 75 (6 + -12x) + 3 = -6x + 75 Reorder the terms: 6 + 3 + -12x = -6x + 75 Combine like terms: 6 + 3 = 9 9 + -12x = -6x + 75 Reorder the terms: 9 + -12x = 75 + -6x Solving 9 + -12x = 75 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 9 + -12x + 6x = 75 + -6x + 6x Combine like terms: -12x + 6x = -6x 9 + -6x = 75 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + -6x = 75 + 0 9 + -6x = 75 Add '-9' to each side of the equation. 9 + -9 + -6x = 75 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = 75 + -9 -6x = 75 + -9 Combine like terms: 75 + -9 = 66 -6x = 66 Divide each side by '-6'. x = -11 Simplifying x = -11
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