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Simplifying 5x + 6(-1x + 14) = 74 Reorder the terms: 5x + 6(14 + -1x) = 74 5x + (14 * 6 + -1x * 6) = 74 5x + (84 + -6x) = 74 Reorder the terms: 84 + 5x + -6x = 74 Combine like terms: 5x + -6x = -1x 84 + -1x = 74 Solving 84 + -1x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -1x = 74 + -84 Combine like terms: 84 + -84 = 0 0 + -1x = 74 + -84 -1x = 74 + -84 Combine like terms: 74 + -84 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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