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Simplifying -0.1(50) + 0.7x = 0.3(50 + x) Multiply -0.1 * 50 -5 + 0.7x = 0.3(50 + x) -5 + 0.7x = (50 * 0.3 + x * 0.3) -5 + 0.7x = (15 + 0.3x) Solving -5 + 0.7x = 15 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -5 + 0.7x + -0.3x = 15 + 0.3x + -0.3x Combine like terms: 0.7x + -0.3x = 0.4x -5 + 0.4x = 15 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -5 + 0.4x = 15 + 0.0 -5 + 0.4x = 15 Add '5' to each side of the equation. -5 + 5 + 0.4x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 0.4x = 15 + 5 0.4x = 15 + 5 Combine like terms: 15 + 5 = 20 0.4x = 20 Divide each side by '0.4'. x = 50 Simplifying x = 50
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