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Simplifying 6 = 2(x + 6) + -1(9 + -1x) Reorder the terms: 6 = 2(6 + x) + -1(9 + -1x) 6 = (6 * 2 + x * 2) + -1(9 + -1x) 6 = (12 + 2x) + -1(9 + -1x) 6 = 12 + 2x + (9 * -1 + -1x * -1) 6 = 12 + 2x + (-9 + 1x) Reorder the terms: 6 = 12 + -9 + 2x + 1x Combine like terms: 12 + -9 = 3 6 = 3 + 2x + 1x Combine like terms: 2x + 1x = 3x 6 = 3 + 3x Solving 6 = 3 + 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. 6 + -3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -3x = 3 + 0 6 + -3x = 3 Add '-6' to each side of the equation. 6 + -6 + -3x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 3 + -6 -3x = 3 + -6 Combine like terms: 3 + -6 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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