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Simplifying 5(4x + 3) = 4(4x + 7) Reorder the terms: 5(3 + 4x) = 4(4x + 7) (3 * 5 + 4x * 5) = 4(4x + 7) (15 + 20x) = 4(4x + 7) Reorder the terms: 15 + 20x = 4(7 + 4x) 15 + 20x = (7 * 4 + 4x * 4) 15 + 20x = (28 + 16x) Solving 15 + 20x = 28 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 15 + 20x + -16x = 28 + 16x + -16x Combine like terms: 20x + -16x = 4x 15 + 4x = 28 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + 4x = 28 + 0 15 + 4x = 28 Add '-15' to each side of the equation. 15 + -15 + 4x = 28 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 28 + -15 4x = 28 + -15 Combine like terms: 28 + -15 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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