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Simplifying 4(3x + 2) + -3(2x + 1) = 3(x + 5) Reorder the terms: 4(2 + 3x) + -3(2x + 1) = 3(x + 5) (2 * 4 + 3x * 4) + -3(2x + 1) = 3(x + 5) (8 + 12x) + -3(2x + 1) = 3(x + 5) Reorder the terms: 8 + 12x + -3(1 + 2x) = 3(x + 5) 8 + 12x + (1 * -3 + 2x * -3) = 3(x + 5) 8 + 12x + (-3 + -6x) = 3(x + 5) Reorder the terms: 8 + -3 + 12x + -6x = 3(x + 5) Combine like terms: 8 + -3 = 5 5 + 12x + -6x = 3(x + 5) Combine like terms: 12x + -6x = 6x 5 + 6x = 3(x + 5) Reorder the terms: 5 + 6x = 3(5 + x) 5 + 6x = (5 * 3 + x * 3) 5 + 6x = (15 + 3x) Solving 5 + 6x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 6x + -3x = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x 5 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 3x = 15 + 0 5 + 3x = 15 Add '-5' to each side of the equation. 5 + -5 + 3x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 15 + -5 3x = 15 + -5 Combine like terms: 15 + -5 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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