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Simplifying -6(x + -14) = -1(x + -9) Reorder the terms: -6(-14 + x) = -1(x + -9) (-14 * -6 + x * -6) = -1(x + -9) (84 + -6x) = -1(x + -9) Reorder the terms: 84 + -6x = -1(-9 + x) 84 + -6x = (-9 * -1 + x * -1) 84 + -6x = (9 + -1x) Solving 84 + -6x = 9 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 84 + -6x + x = 9 + -1x + x Combine like terms: -6x + x = -5x 84 + -5x = 9 + -1x + x Combine like terms: -1x + x = 0 84 + -5x = 9 + 0 84 + -5x = 9 Add '-84' to each side of the equation. 84 + -84 + -5x = 9 + -84 Combine like terms: 84 + -84 = 0 0 + -5x = 9 + -84 -5x = 9 + -84 Combine like terms: 9 + -84 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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