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Simplifying 6(x + 1) + -1(3 + -1x) = 12 Reorder the terms: 6(1 + x) + -1(3 + -1x) = 12 (1 * 6 + x * 6) + -1(3 + -1x) = 12 (6 + 6x) + -1(3 + -1x) = 12 6 + 6x + (3 * -1 + -1x * -1) = 12 6 + 6x + (-3 + 1x) = 12 Reorder the terms: 6 + -3 + 6x + 1x = 12 Combine like terms: 6 + -3 = 3 3 + 6x + 1x = 12 Combine like terms: 6x + 1x = 7x 3 + 7x = 12 Solving 3 + 7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 12 + -3 7x = 12 + -3 Combine like terms: 12 + -3 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286
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