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Simplifying 2x + 13 = 33 + -3x Reorder the terms: 13 + 2x = 33 + -3x Solving 13 + 2x = 33 + -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. 13 + 2x + 3x = 33 + -3x + 3x Combine like terms: 2x + 3x = 5x 13 + 5x = 33 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 5x = 33 + 0 13 + 5x = 33 Add '-13' to each side of the equation. 13 + -13 + 5x = 33 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = 33 + -13 5x = 33 + -13 Combine like terms: 33 + -13 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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