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Simplifying 9x + -12 + -2x = 6x + -1(3 + x) Reorder the terms: -12 + 9x + -2x = 6x + -1(3 + x) Combine like terms: 9x + -2x = 7x -12 + 7x = 6x + -1(3 + x) -12 + 7x = 6x + (3 * -1 + x * -1) -12 + 7x = 6x + (-3 + -1x) Reorder the terms: -12 + 7x = -3 + 6x + -1x Combine like terms: 6x + -1x = 5x -12 + 7x = -3 + 5x Solving -12 + 7x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 7x + -5x = -3 + 5x + -5x Combine like terms: 7x + -5x = 2x -12 + 2x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 2x = -3 + 0 -12 + 2x = -3 Add '12' to each side of the equation. -12 + 12 + 2x = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -3 + 12 2x = -3 + 12 Combine like terms: -3 + 12 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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