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Simplifying 600 = x + (x + 33) + (3x + -38) Reorder the terms: 600 = x + (33 + x) + (3x + -38) Remove parenthesis around (33 + x) 600 = x + 33 + x + (3x + -38) Reorder the terms: 600 = x + 33 + x + (-38 + 3x) Remove parenthesis around (-38 + 3x) 600 = x + 33 + x + -38 + 3x Reorder the terms: 600 = 33 + -38 + x + x + 3x Combine like terms: 33 + -38 = -5 600 = -5 + x + x + 3x Combine like terms: x + x = 2x 600 = -5 + 2x + 3x Combine like terms: 2x + 3x = 5x 600 = -5 + 5x Solving 600 = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 600 + -5x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 600 + -5x = -5 + 0 600 + -5x = -5 Add '-600' to each side of the equation. 600 + -600 + -5x = -5 + -600 Combine like terms: 600 + -600 = 0 0 + -5x = -5 + -600 -5x = -5 + -600 Combine like terms: -5 + -600 = -605 -5x = -605 Divide each side by '-5'. x = 121 Simplifying x = 121
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