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Simplifying 5(6x + 2) + 4(1 + -4x) = 14 Reorder the terms: 5(2 + 6x) + 4(1 + -4x) = 14 (2 * 5 + 6x * 5) + 4(1 + -4x) = 14 (10 + 30x) + 4(1 + -4x) = 14 10 + 30x + (1 * 4 + -4x * 4) = 14 10 + 30x + (4 + -16x) = 14 Reorder the terms: 10 + 4 + 30x + -16x = 14 Combine like terms: 10 + 4 = 14 14 + 30x + -16x = 14 Combine like terms: 30x + -16x = 14x 14 + 14x = 14 Add '-14' to each side of the equation. 14 + -14 + 14x = 14 + -14 Combine like terms: 14 + -14 = 0 0 + 14x = 14 + -14 14x = 14 + -14 Combine like terms: 14 + -14 = 0 14x = 0 Solving 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '14'. x = 0 Simplifying x = 0
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