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Simplifying 5(3x + 4) = 10(x + 2) Reorder the terms: 5(4 + 3x) = 10(x + 2) (4 * 5 + 3x * 5) = 10(x + 2) (20 + 15x) = 10(x + 2) Reorder the terms: 20 + 15x = 10(2 + x) 20 + 15x = (2 * 10 + x * 10) 20 + 15x = (20 + 10x) Add '-20' to each side of the equation. 20 + -20 + 15x = 20 + -20 + 10x Combine like terms: 20 + -20 = 0 0 + 15x = 20 + -20 + 10x 15x = 20 + -20 + 10x Combine like terms: 20 + -20 = 0 15x = 0 + 10x 15x = 10x Solving 15x = 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. 15x + -10x = 10x + -10x Combine like terms: 15x + -10x = 5x 5x = 10x + -10x Combine like terms: 10x + -10x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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