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Simplifying 9(x + 2) + -1(-6x + -1) = 14x Reorder the terms: 9(2 + x) + -1(-6x + -1) = 14x (2 * 9 + x * 9) + -1(-6x + -1) = 14x (18 + 9x) + -1(-6x + -1) = 14x Reorder the terms: 18 + 9x + -1(-1 + -6x) = 14x 18 + 9x + (-1 * -1 + -6x * -1) = 14x 18 + 9x + (1 + 6x) = 14x Reorder the terms: 18 + 1 + 9x + 6x = 14x Combine like terms: 18 + 1 = 19 19 + 9x + 6x = 14x Combine like terms: 9x + 6x = 15x 19 + 15x = 14x Solving 19 + 15x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 19 + 15x + -14x = 14x + -14x Combine like terms: 15x + -14x = 1x 19 + 1x = 14x + -14x Combine like terms: 14x + -14x = 0 19 + 1x = 0 Add '-19' to each side of the equation. 19 + -19 + 1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 0 + -19 1x = 0 + -19 Combine like terms: 0 + -19 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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