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Simplifying 3(x + 4) = 6(2x + 5) Reorder the terms: 3(4 + x) = 6(2x + 5) (4 * 3 + x * 3) = 6(2x + 5) (12 + 3x) = 6(2x + 5) Reorder the terms: 12 + 3x = 6(5 + 2x) 12 + 3x = (5 * 6 + 2x * 6) 12 + 3x = (30 + 12x) Solving 12 + 3x = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + 3x + -12x = 30 + 12x + -12x Combine like terms: 3x + -12x = -9x 12 + -9x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -9x = 30 + 0 12 + -9x = 30 Add '-12' to each side of the equation. 12 + -12 + -9x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 30 + -12 -9x = 30 + -12 Combine like terms: 30 + -12 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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