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Simplifying 2x + 33 = 5(x + 9) Reorder the terms: 33 + 2x = 5(x + 9) Reorder the terms: 33 + 2x = 5(9 + x) 33 + 2x = (9 * 5 + x * 5) 33 + 2x = (45 + 5x) Solving 33 + 2x = 45 + 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. 33 + 2x + -5x = 45 + 5x + -5x Combine like terms: 2x + -5x = -3x 33 + -3x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + -3x = 45 + 0 33 + -3x = 45 Add '-33' to each side of the equation. 33 + -33 + -3x = 45 + -33 Combine like terms: 33 + -33 = 0 0 + -3x = 45 + -33 -3x = 45 + -33 Combine like terms: 45 + -33 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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