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Simplifying 0.11x + 0.5(x + -1) = 0.01(3x + -1) Reorder the terms: 0.11x + 0.5(-1 + x) = 0.01(3x + -1) 0.11x + (-1 * 0.5 + x * 0.5) = 0.01(3x + -1) 0.11x + (-0.5 + 0.5x) = 0.01(3x + -1) Reorder the terms: -0.5 + 0.11x + 0.5x = 0.01(3x + -1) Combine like terms: 0.11x + 0.5x = 0.61x -0.5 + 0.61x = 0.01(3x + -1) Reorder the terms: -0.5 + 0.61x = 0.01(-1 + 3x) -0.5 + 0.61x = (-1 * 0.01 + 3x * 0.01) -0.5 + 0.61x = (-0.01 + 0.03x) Solving -0.5 + 0.61x = -0.01 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -0.5 + 0.61x + -0.03x = -0.01 + 0.03x + -0.03x Combine like terms: 0.61x + -0.03x = 0.58x -0.5 + 0.58x = -0.01 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.5 + 0.58x = -0.01 + 0.00 -0.5 + 0.58x = -0.01 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.58x = -0.01 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.58x = -0.01 + 0.5 0.58x = -0.01 + 0.5 Combine like terms: -0.01 + 0.5 = 0.49 0.58x = 0.49 Divide each side by '0.58'. x = 0.8448275862 Simplifying x = 0.8448275862
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