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Simplifying 12x + -10 = 9 + -1(10 + -3x) Reorder the terms: -10 + 12x = 9 + -1(10 + -3x) -10 + 12x = 9 + (10 * -1 + -3x * -1) -10 + 12x = 9 + (-10 + 3x) Combine like terms: 9 + -10 = -1 -10 + 12x = -1 + 3x Solving -10 + 12x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 12x + -3x = -1 + 3x + -3x Combine like terms: 12x + -3x = 9x -10 + 9x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 9x = -1 + 0 -10 + 9x = -1 Add '10' to each side of the equation. -10 + 10 + 9x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = -1 + 10 9x = -1 + 10 Combine like terms: -1 + 10 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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