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Simplifying 5x + 11 = 0.5(32x + 18) Reorder the terms: 11 + 5x = 0.5(32x + 18) Reorder the terms: 11 + 5x = 0.5(18 + 32x) 11 + 5x = (18 * 0.5 + 32x * 0.5) 11 + 5x = (9 + 16x) Solving 11 + 5x = 9 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 11 + 5x + -16x = 9 + 16x + -16x Combine like terms: 5x + -16x = -11x 11 + -11x = 9 + 16x + -16x Combine like terms: 16x + -16x = 0 11 + -11x = 9 + 0 11 + -11x = 9 Add '-11' to each side of the equation. 11 + -11 + -11x = 9 + -11 Combine like terms: 11 + -11 = 0 0 + -11x = 9 + -11 -11x = 9 + -11 Combine like terms: 9 + -11 = -2 -11x = -2 Divide each side by '-11'. x = 0.1818181818 Simplifying x = 0.1818181818
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