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Simplifying -1(5x + 8) = -14(6 + -1x) Reorder the terms: -1(8 + 5x) = -14(6 + -1x) (8 * -1 + 5x * -1) = -14(6 + -1x) (-8 + -5x) = -14(6 + -1x) -8 + -5x = (6 * -14 + -1x * -14) -8 + -5x = (-84 + 14x) Solving -8 + -5x = -84 + 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. -8 + -5x + -14x = -84 + 14x + -14x Combine like terms: -5x + -14x = -19x -8 + -19x = -84 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -19x = -84 + 0 -8 + -19x = -84 Add '8' to each side of the equation. -8 + 8 + -19x = -84 + 8 Combine like terms: -8 + 8 = 0 0 + -19x = -84 + 8 -19x = -84 + 8 Combine like terms: -84 + 8 = -76 -19x = -76 Divide each side by '-19'. x = 4 Simplifying x = 4
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