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Simplifying 5(x + 3) = 11x + -24 Reorder the terms: 5(3 + x) = 11x + -24 (3 * 5 + x * 5) = 11x + -24 (15 + 5x) = 11x + -24 Reorder the terms: 15 + 5x = -24 + 11x Solving 15 + 5x = -24 + 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 + 5x + -11x = -24 + 11x + -11x Combine like terms: 5x + -11x = -6x 15 + -6x = -24 + 11x + -11x Combine like terms: 11x + -11x = 0 15 + -6x = -24 + 0 15 + -6x = -24 Add '-15' to each side of the equation. 15 + -15 + -6x = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -24 + -15 -6x = -24 + -15 Combine like terms: -24 + -15 = -39 -6x = -39 Divide each side by '-6'. x = 6.5 Simplifying x = 6.5
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