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Simplifying 4(2x + 6) = 3(5x + 8) Reorder the terms: 4(6 + 2x) = 3(5x + 8) (6 * 4 + 2x * 4) = 3(5x + 8) (24 + 8x) = 3(5x + 8) Reorder the terms: 24 + 8x = 3(8 + 5x) 24 + 8x = (8 * 3 + 5x * 3) 24 + 8x = (24 + 15x) Add '-24' to each side of the equation. 24 + -24 + 8x = 24 + -24 + 15x Combine like terms: 24 + -24 = 0 0 + 8x = 24 + -24 + 15x 8x = 24 + -24 + 15x Combine like terms: 24 + -24 = 0 8x = 0 + 15x 8x = 15x Solving 8x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 8x + -15x = 15x + -15x Combine like terms: 8x + -15x = -7x -7x = 15x + -15x Combine like terms: 15x + -15x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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