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Simplifying 0.11x + 0.5(x + -2) = 0.01(3x + -2) Reorder the terms: 0.11x + 0.5(-2 + x) = 0.01(3x + -2) 0.11x + (-2 * 0.5 + x * 0.5) = 0.01(3x + -2) 0.11x + (-1 + 0.5x) = 0.01(3x + -2) Reorder the terms: -1 + 0.11x + 0.5x = 0.01(3x + -2) Combine like terms: 0.11x + 0.5x = 0.61x -1 + 0.61x = 0.01(3x + -2) Reorder the terms: -1 + 0.61x = 0.01(-2 + 3x) -1 + 0.61x = (-2 * 0.01 + 3x * 0.01) -1 + 0.61x = (-0.02 + 0.03x) Solving -1 + 0.61x = -0.02 + 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. -1 + 0.61x + -0.03x = -0.02 + 0.03x + -0.03x Combine like terms: 0.61x + -0.03x = 0.58x -1 + 0.58x = -0.02 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1 + 0.58x = -0.02 + 0.00 -1 + 0.58x = -0.02 Add '1' to each side of the equation. -1 + 1 + 0.58x = -0.02 + 1 Combine like terms: -1 + 1 = 0 0 + 0.58x = -0.02 + 1 0.58x = -0.02 + 1 Combine like terms: -0.02 + 1 = 0.98 0.58x = 0.98 Divide each side by '0.58'. x = 1.689655172 Simplifying x = 1.689655172
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