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Simplifying 2(3x + 4) + -5 = 3(x + 1) + 15 Reorder the terms: 2(4 + 3x) + -5 = 3(x + 1) + 15 (4 * 2 + 3x * 2) + -5 = 3(x + 1) + 15 (8 + 6x) + -5 = 3(x + 1) + 15 Reorder the terms: 8 + -5 + 6x = 3(x + 1) + 15 Combine like terms: 8 + -5 = 3 3 + 6x = 3(x + 1) + 15 Reorder the terms: 3 + 6x = 3(1 + x) + 15 3 + 6x = (1 * 3 + x * 3) + 15 3 + 6x = (3 + 3x) + 15 Reorder the terms: 3 + 6x = 3 + 15 + 3x Combine like terms: 3 + 15 = 18 3 + 6x = 18 + 3x Solving 3 + 6x = 18 + 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. 3 + 6x + -3x = 18 + 3x + -3x Combine like terms: 6x + -3x = 3x 3 + 3x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 3x = 18 + 0 3 + 3x = 18 Add '-3' to each side of the equation. 3 + -3 + 3x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 18 + -3 3x = 18 + -3 Combine like terms: 18 + -3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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