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Simplifying 38 = x + (x + 14) + (x + 9) Reorder the terms: 38 = x + (14 + x) + (x + 9) Remove parenthesis around (14 + x) 38 = x + 14 + x + (x + 9) Reorder the terms: 38 = x + 14 + x + (9 + x) Remove parenthesis around (9 + x) 38 = x + 14 + x + 9 + x Reorder the terms: 38 = 14 + 9 + x + x + x Combine like terms: 14 + 9 = 23 38 = 23 + x + x + x Combine like terms: x + x = 2x 38 = 23 + 2x + x Combine like terms: 2x + x = 3x 38 = 23 + 3x Solving 38 = 23 + 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. 38 + -3x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + -3x = 23 + 0 38 + -3x = 23 Add '-38' to each side of the equation. 38 + -38 + -3x = 23 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = 23 + -38 -3x = 23 + -38 Combine like terms: 23 + -38 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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