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Simplifying 2x + 3(x + 8) = 33 + 2x Reorder the terms: 2x + 3(8 + x) = 33 + 2x 2x + (8 * 3 + x * 3) = 33 + 2x 2x + (24 + 3x) = 33 + 2x Reorder the terms: 24 + 2x + 3x = 33 + 2x Combine like terms: 2x + 3x = 5x 24 + 5x = 33 + 2x Solving 24 + 5x = 33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 5x + -2x = 33 + 2x + -2x Combine like terms: 5x + -2x = 3x 24 + 3x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 3x = 33 + 0 24 + 3x = 33 Add '-24' to each side of the equation. 24 + -24 + 3x = 33 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 33 + -24 3x = 33 + -24 Combine like terms: 33 + -24 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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