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Simplifying 4(4x + 1) = 5(6x + -1) Reorder the terms: 4(1 + 4x) = 5(6x + -1) (1 * 4 + 4x * 4) = 5(6x + -1) (4 + 16x) = 5(6x + -1) Reorder the terms: 4 + 16x = 5(-1 + 6x) 4 + 16x = (-1 * 5 + 6x * 5) 4 + 16x = (-5 + 30x) Solving 4 + 16x = -5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 4 + 16x + -30x = -5 + 30x + -30x Combine like terms: 16x + -30x = -14x 4 + -14x = -5 + 30x + -30x Combine like terms: 30x + -30x = 0 4 + -14x = -5 + 0 4 + -14x = -5 Add '-4' to each side of the equation. 4 + -4 + -14x = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -5 + -4 -14x = -5 + -4 Combine like terms: -5 + -4 = -9 -14x = -9 Divide each side by '-14'. x = 0.6428571429 Simplifying x = 0.6428571429
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