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Simplifying 0.11x + -1 = 0.5(x + 0.33) Reorder the terms: -1 + 0.11x = 0.5(x + 0.33) Reorder the terms: -1 + 0.11x = 0.5(0.33 + x) -1 + 0.11x = (0.33 * 0.5 + x * 0.5) -1 + 0.11x = (0.165 + 0.5x) Solving -1 + 0.11x = 0.165 + 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. -1 + 0.11x + -0.5x = 0.165 + 0.5x + -0.5x Combine like terms: 0.11x + -0.5x = -0.39x -1 + -0.39x = 0.165 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1 + -0.39x = 0.165 + 0.0 -1 + -0.39x = 0.165 Add '1' to each side of the equation. -1 + 1 + -0.39x = 0.165 + 1 Combine like terms: -1 + 1 = 0 0 + -0.39x = 0.165 + 1 -0.39x = 0.165 + 1 Combine like terms: 0.165 + 1 = 1.165 -0.39x = 1.165 Divide each side by '-0.39'. x = -2.987179487 Simplifying x = -2.987179487
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