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Simplifying 3(6x + 5) = 4(4x + 6) Reorder the terms: 3(5 + 6x) = 4(4x + 6) (5 * 3 + 6x * 3) = 4(4x + 6) (15 + 18x) = 4(4x + 6) Reorder the terms: 15 + 18x = 4(6 + 4x) 15 + 18x = (6 * 4 + 4x * 4) 15 + 18x = (24 + 16x) Solving 15 + 18x = 24 + 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 + 18x + -16x = 24 + 16x + -16x Combine like terms: 18x + -16x = 2x 15 + 2x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + 2x = 24 + 0 15 + 2x = 24 Add '-15' to each side of the equation. 15 + -15 + 2x = 24 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 24 + -15 2x = 24 + -15 Combine like terms: 24 + -15 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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