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Simplifying -5(x + -6) + -1(8 + 9x) = -15x Reorder the terms: -5(-6 + x) + -1(8 + 9x) = -15x (-6 * -5 + x * -5) + -1(8 + 9x) = -15x (30 + -5x) + -1(8 + 9x) = -15x 30 + -5x + (8 * -1 + 9x * -1) = -15x 30 + -5x + (-8 + -9x) = -15x Reorder the terms: 30 + -8 + -5x + -9x = -15x Combine like terms: 30 + -8 = 22 22 + -5x + -9x = -15x Combine like terms: -5x + -9x = -14x 22 + -14x = -15x Solving 22 + -14x = -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 22 + -14x + 15x = -15x + 15x Combine like terms: -14x + 15x = 1x 22 + 1x = -15x + 15x Combine like terms: -15x + 15x = 0 22 + 1x = 0 Add '-22' to each side of the equation. 22 + -22 + 1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 0 + -22 1x = 0 + -22 Combine like terms: 0 + -22 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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