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Simplifying 3x + -1(x + -5) + 6 = x + 9 Reorder the terms: 3x + -1(-5 + x) + 6 = x + 9 3x + (-5 * -1 + x * -1) + 6 = x + 9 3x + (5 + -1x) + 6 = x + 9 Reorder the terms: 5 + 6 + 3x + -1x = x + 9 Combine like terms: 5 + 6 = 11 11 + 3x + -1x = x + 9 Combine like terms: 3x + -1x = 2x 11 + 2x = x + 9 Reorder the terms: 11 + 2x = 9 + x Solving 11 + 2x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11 + 2x + -1x = 9 + x + -1x Combine like terms: 2x + -1x = 1x 11 + 1x = 9 + x + -1x Combine like terms: x + -1x = 0 11 + 1x = 9 + 0 11 + 1x = 9 Add '-11' to each side of the equation. 11 + -11 + 1x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 9 + -11 1x = 9 + -11 Combine like terms: 9 + -11 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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