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Simplifying 6(9 + x) = 14(-6 + -1x) (9 * 6 + x * 6) = 14(-6 + -1x) (54 + 6x) = 14(-6 + -1x) 54 + 6x = (-6 * 14 + -1x * 14) 54 + 6x = (-84 + -14x) Solving 54 + 6x = -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. 54 + 6x + 14x = -84 + -14x + 14x Combine like terms: 6x + 14x = 20x 54 + 20x = -84 + -14x + 14x Combine like terms: -14x + 14x = 0 54 + 20x = -84 + 0 54 + 20x = -84 Add '-54' to each side of the equation. 54 + -54 + 20x = -84 + -54 Combine like terms: 54 + -54 = 0 0 + 20x = -84 + -54 20x = -84 + -54 Combine like terms: -84 + -54 = -138 20x = -138 Divide each side by '20'. x = -6.9 Simplifying x = -6.9
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