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Simplifying 3(x + 4) = 2(5x + 6) Reorder the terms: 3(4 + x) = 2(5x + 6) (4 * 3 + x * 3) = 2(5x + 6) (12 + 3x) = 2(5x + 6) Reorder the terms: 12 + 3x = 2(6 + 5x) 12 + 3x = (6 * 2 + 5x * 2) 12 + 3x = (12 + 10x) Add '-12' to each side of the equation. 12 + -12 + 3x = 12 + -12 + 10x Combine like terms: 12 + -12 = 0 0 + 3x = 12 + -12 + 10x 3x = 12 + -12 + 10x Combine like terms: 12 + -12 = 0 3x = 0 + 10x 3x = 10x Solving 3x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3x + -10x = 10x + -10x Combine like terms: 3x + -10x = -7x -7x = 10x + -10x Combine like terms: 10x + -10x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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