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Simplifying 4(3x + 3) = 5(x + 8) Reorder the terms: 4(3 + 3x) = 5(x + 8) (3 * 4 + 3x * 4) = 5(x + 8) (12 + 12x) = 5(x + 8) Reorder the terms: 12 + 12x = 5(8 + x) 12 + 12x = (8 * 5 + x * 5) 12 + 12x = (40 + 5x) Solving 12 + 12x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 12x + -5x = 40 + 5x + -5x Combine like terms: 12x + -5x = 7x 12 + 7x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 7x = 40 + 0 12 + 7x = 40 Add '-12' to each side of the equation. 12 + -12 + 7x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 40 + -12 7x = 40 + -12 Combine like terms: 40 + -12 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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