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Simplifying 0.1(50) = 0.4(70 + x) + -0.6x Multiply 0.1 * 50 5 = 0.4(70 + x) + -0.6x 5 = (70 * 0.4 + x * 0.4) + -0.6x 5 = (28 + 0.4x) + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x 5 = 28 + -0.2x Solving 5 = 28 + -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. 5 + 0.2x = 28 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 5 + 0.2x = 28 + 0.0 5 + 0.2x = 28 Add '-5' to each side of the equation. 5 + -5 + 0.2x = 28 + -5 Combine like terms: 5 + -5 = 0 0 + 0.2x = 28 + -5 0.2x = 28 + -5 Combine like terms: 28 + -5 = 23 0.2x = 23 Divide each side by '0.2'. x = 115 Simplifying x = 115
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