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Simplifying 0.14x + 0.3(x + -3) = 0.01(3x + -5) Reorder the terms: 0.14x + 0.3(-3 + x) = 0.01(3x + -5) 0.14x + (-3 * 0.3 + x * 0.3) = 0.01(3x + -5) 0.14x + (-0.9 + 0.3x) = 0.01(3x + -5) Reorder the terms: -0.9 + 0.14x + 0.3x = 0.01(3x + -5) Combine like terms: 0.14x + 0.3x = 0.44x -0.9 + 0.44x = 0.01(3x + -5) Reorder the terms: -0.9 + 0.44x = 0.01(-5 + 3x) -0.9 + 0.44x = (-5 * 0.01 + 3x * 0.01) -0.9 + 0.44x = (-0.05 + 0.03x) Solving -0.9 + 0.44x = -0.05 + 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. -0.9 + 0.44x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.44x + -0.03x = 0.41x -0.9 + 0.41x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -0.9 + 0.41x = -0.05 + 0.00 -0.9 + 0.41x = -0.05 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.41x = -0.05 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.41x = -0.05 + 0.9 0.41x = -0.05 + 0.9 Combine like terms: -0.05 + 0.9 = 0.85 0.41x = 0.85 Divide each side by '0.41'. x = 2.073170732 Simplifying x = 2.073170732
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