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Simplifying -0.2(40) + 0.6x = 0.2(40 + x) Multiply -0.2 * 40 -8 + 0.6x = 0.2(40 + x) -8 + 0.6x = (40 * 0.2 + x * 0.2) -8 + 0.6x = (8 + 0.2x) Solving -8 + 0.6x = 8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -8 + 0.6x + -0.2x = 8 + 0.2x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x -8 + 0.4x = 8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -8 + 0.4x = 8 + 0.0 -8 + 0.4x = 8 Add '8' to each side of the equation. -8 + 8 + 0.4x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 0.4x = 8 + 8 0.4x = 8 + 8 Combine like terms: 8 + 8 = 16 0.4x = 16 Divide each side by '0.4'. x = 40 Simplifying x = 40
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