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Simplifying 6x + 3(2x + 4) = 10(x + 3) Reorder the terms: 6x + 3(4 + 2x) = 10(x + 3) 6x + (4 * 3 + 2x * 3) = 10(x + 3) 6x + (12 + 6x) = 10(x + 3) Reorder the terms: 12 + 6x + 6x = 10(x + 3) Combine like terms: 6x + 6x = 12x 12 + 12x = 10(x + 3) Reorder the terms: 12 + 12x = 10(3 + x) 12 + 12x = (3 * 10 + x * 10) 12 + 12x = (30 + 10x) Solving 12 + 12x = 30 + 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. 12 + 12x + -10x = 30 + 10x + -10x Combine like terms: 12x + -10x = 2x 12 + 2x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 2x = 30 + 0 12 + 2x = 30 Add '-12' to each side of the equation. 12 + -12 + 2x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 30 + -12 2x = 30 + -12 Combine like terms: 30 + -12 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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