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Simplifying 24 + (2x + 18) = (3x + 6) Reorder the terms: 24 + (18 + 2x) = (3x + 6) Remove parenthesis around (18 + 2x) 24 + 18 + 2x = (3x + 6) Combine like terms: 24 + 18 = 42 42 + 2x = (3x + 6) Reorder the terms: 42 + 2x = (6 + 3x) Remove parenthesis around (6 + 3x) 42 + 2x = 6 + 3x Solving 42 + 2x = 6 + 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. 42 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x 42 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + -1x = 6 + 0 42 + -1x = 6 Add '-42' to each side of the equation. 42 + -42 + -1x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 6 + -42 -1x = 6 + -42 Combine like terms: 6 + -42 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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