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Simplifying 3(11 + x) = 45 + x (11 * 3 + x * 3) = 45 + x (33 + 3x) = 45 + x Solving 33 + 3x = 45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 33 + 3x + -1x = 45 + x + -1x Combine like terms: 3x + -1x = 2x 33 + 2x = 45 + x + -1x Combine like terms: x + -1x = 0 33 + 2x = 45 + 0 33 + 2x = 45 Add '-33' to each side of the equation. 33 + -33 + 2x = 45 + -33 Combine like terms: 33 + -33 = 0 0 + 2x = 45 + -33 2x = 45 + -33 Combine like terms: 45 + -33 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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