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Simplifying -0.6(50) + 0.8x = 0.4(50 + x) Multiply -0.6 * 50 -30 + 0.8x = 0.4(50 + x) -30 + 0.8x = (50 * 0.4 + x * 0.4) -30 + 0.8x = (20 + 0.4x) Solving -30 + 0.8x = 20 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -30 + 0.8x + -0.4x = 20 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x -30 + 0.4x = 20 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -30 + 0.4x = 20 + 0.0 -30 + 0.4x = 20 Add '30' to each side of the equation. -30 + 30 + 0.4x = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 0.4x = 20 + 30 0.4x = 20 + 30 Combine like terms: 20 + 30 = 50 0.4x = 50 Divide each side by '0.4'. x = 125 Simplifying x = 125
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