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Simplifying 9(x + -3) = 0.5(x + 11) Reorder the terms: 9(-3 + x) = 0.5(x + 11) (-3 * 9 + x * 9) = 0.5(x + 11) (-27 + 9x) = 0.5(x + 11) Reorder the terms: -27 + 9x = 0.5(11 + x) -27 + 9x = (11 * 0.5 + x * 0.5) -27 + 9x = (5.5 + 0.5x) Solving -27 + 9x = 5.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -27 + 9x + -0.5x = 5.5 + 0.5x + -0.5x Combine like terms: 9x + -0.5x = 8.5x -27 + 8.5x = 5.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -27 + 8.5x = 5.5 + 0.0 -27 + 8.5x = 5.5 Add '27' to each side of the equation. -27 + 27 + 8.5x = 5.5 + 27 Combine like terms: -27 + 27 = 0 0 + 8.5x = 5.5 + 27 8.5x = 5.5 + 27 Combine like terms: 5.5 + 27 = 32.5 8.5x = 32.5 Divide each side by '8.5'. x = 3.823529412 Simplifying x = 3.823529412
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