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Simplifying 5(0.4x + -0.5) = 2(0.3 + 0.2) Reorder the terms: 5(-0.5 + 0.4x) = 2(0.3 + 0.2) (-0.5 * 5 + 0.4x * 5) = 2(0.3 + 0.2) (-2.5 + 2x) = 2(0.3 + 0.2) Combine like terms: 0.3 + 0.2 = 0.5 -2.5 + 2x = 2(0.5) Multiply 2 * 0.5 -2.5 + 2x = 1 Solving -2.5 + 2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + 2x = 1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 2x = 1 + 2.5 2x = 1 + 2.5 Combine like terms: 1 + 2.5 = 3.5 2x = 3.5 Divide each side by '2'. x = 1.75 Simplifying x = 1.75
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