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Simplifying 9x + 3(x + -1) = 9 + 10x Reorder the terms: 9x + 3(-1 + x) = 9 + 10x 9x + (-1 * 3 + x * 3) = 9 + 10x 9x + (-3 + 3x) = 9 + 10x Reorder the terms: -3 + 9x + 3x = 9 + 10x Combine like terms: 9x + 3x = 12x -3 + 12x = 9 + 10x Solving -3 + 12x = 9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 12x + -10x = 9 + 10x + -10x Combine like terms: 12x + -10x = 2x -3 + 2x = 9 + 10x + -10x Combine like terms: 10x + -10x = 0 -3 + 2x = 9 + 0 -3 + 2x = 9 Add '3' to each side of the equation. -3 + 3 + 2x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 9 + 3 2x = 9 + 3 Combine like terms: 9 + 3 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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