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Simplifying 11(x + -3) = 5(x + 3) Reorder the terms: 11(-3 + x) = 5(x + 3) (-3 * 11 + x * 11) = 5(x + 3) (-33 + 11x) = 5(x + 3) Reorder the terms: -33 + 11x = 5(3 + x) -33 + 11x = (3 * 5 + x * 5) -33 + 11x = (15 + 5x) Solving -33 + 11x = 15 + 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 + 11x + -5x = 15 + 5x + -5x Combine like terms: 11x + -5x = 6x -33 + 6x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -33 + 6x = 15 + 0 -33 + 6x = 15 Add '33' to each side of the equation. -33 + 33 + 6x = 15 + 33 Combine like terms: -33 + 33 = 0 0 + 6x = 15 + 33 6x = 15 + 33 Combine like terms: 15 + 33 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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