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Simplifying 4(x + 4) = 5(4x + -2) Reorder the terms: 4(4 + x) = 5(4x + -2) (4 * 4 + x * 4) = 5(4x + -2) (16 + 4x) = 5(4x + -2) Reorder the terms: 16 + 4x = 5(-2 + 4x) 16 + 4x = (-2 * 5 + 4x * 5) 16 + 4x = (-10 + 20x) Solving 16 + 4x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 16 + 4x + -20x = -10 + 20x + -20x Combine like terms: 4x + -20x = -16x 16 + -16x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 16 + -16x = -10 + 0 16 + -16x = -10 Add '-16' to each side of the equation. 16 + -16 + -16x = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -16x = -10 + -16 -16x = -10 + -16 Combine like terms: -10 + -16 = -26 -16x = -26 Divide each side by '-16'. x = 1.625 Simplifying x = 1.625
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