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Simplifying 5(2x + 3) = 11x + 11 Reorder the terms: 5(3 + 2x) = 11x + 11 (3 * 5 + 2x * 5) = 11x + 11 (15 + 10x) = 11x + 11 Reorder the terms: 15 + 10x = 11 + 11x Solving 15 + 10x = 11 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 15 + 10x + -11x = 11 + 11x + -11x Combine like terms: 10x + -11x = -1x 15 + -1x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 15 + -1x = 11 + 0 15 + -1x = 11 Add '-15' to each side of the equation. 15 + -15 + -1x = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 11 + -15 -1x = 11 + -15 Combine like terms: 11 + -15 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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