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Simplifying 0.11 + 0.2(x + -4) = 0.01(2x + -5) Reorder the terms: 0.11 + 0.2(-4 + x) = 0.01(2x + -5) 0.11 + (-4 * 0.2 + x * 0.2) = 0.01(2x + -5) 0.11 + (-0.8 + 0.2x) = 0.01(2x + -5) Combine like terms: 0.11 + -0.8 = -0.69 -0.69 + 0.2x = 0.01(2x + -5) Reorder the terms: -0.69 + 0.2x = 0.01(-5 + 2x) -0.69 + 0.2x = (-5 * 0.01 + 2x * 0.01) -0.69 + 0.2x = (-0.05 + 0.02x) Solving -0.69 + 0.2x = -0.05 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -0.69 + 0.2x + -0.02x = -0.05 + 0.02x + -0.02x Combine like terms: 0.2x + -0.02x = 0.18x -0.69 + 0.18x = -0.05 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.69 + 0.18x = -0.05 + 0.00 -0.69 + 0.18x = -0.05 Add '0.69' to each side of the equation. -0.69 + 0.69 + 0.18x = -0.05 + 0.69 Combine like terms: -0.69 + 0.69 = 0.00 0.00 + 0.18x = -0.05 + 0.69 0.18x = -0.05 + 0.69 Combine like terms: -0.05 + 0.69 = 0.64 0.18x = 0.64 Divide each side by '0.18'. x = 3.555555556 Simplifying x = 3.555555556
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