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