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Simplifying 0.75(x + -12) = 5 + 1.2x Reorder the terms: 0.75(-12 + x) = 5 + 1.2x (-12 * 0.75 + x * 0.75) = 5 + 1.2x (-9 + 0.75x) = 5 + 1.2x Solving -9 + 0.75x = 5 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -9 + 0.75x + -1.2x = 5 + 1.2x + -1.2x Combine like terms: 0.75x + -1.2x = -0.45x -9 + -0.45x = 5 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -9 + -0.45x = 5 + 0.0 -9 + -0.45x = 5 Add '9' to each side of the equation. -9 + 9 + -0.45x = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -0.45x = 5 + 9 -0.45x = 5 + 9 Combine like terms: 5 + 9 = 14 -0.45x = 14 Divide each side by '-0.45'. x = -31.11111111 Simplifying x = -31.11111111
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