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Simplifying x + (x + 5) + (3x + -4) = 46 Reorder the terms: x + (5 + x) + (3x + -4) = 46 Remove parenthesis around (5 + x) x + 5 + x + (3x + -4) = 46 Reorder the terms: x + 5 + x + (-4 + 3x) = 46 Remove parenthesis around (-4 + 3x) x + 5 + x + -4 + 3x = 46 Reorder the terms: 5 + -4 + x + x + 3x = 46 Combine like terms: 5 + -4 = 1 1 + x + x + 3x = 46 Combine like terms: x + x = 2x 1 + 2x + 3x = 46 Combine like terms: 2x + 3x = 5x 1 + 5x = 46 Solving 1 + 5x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 46 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 46 + -1 5x = 46 + -1 Combine like terms: 46 + -1 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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