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Simplifying 3x + 10 = 12x + -75 Reorder the terms: 10 + 3x = 12x + -75 Reorder the terms: 10 + 3x = -75 + 12x Solving 10 + 3x = -75 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 3x + -12x = -75 + 12x + -12x Combine like terms: 3x + -12x = -9x 10 + -9x = -75 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -9x = -75 + 0 10 + -9x = -75 Add '-10' to each side of the equation. 10 + -10 + -9x = -75 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -75 + -10 -9x = -75 + -10 Combine like terms: -75 + -10 = -85 -9x = -85 Divide each side by '-9'. x = 9.444444444 Simplifying x = 9.444444444
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