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Simplifying 0.7x + 0.5(20) = 0.4(x + 40) Multiply 0.5 * 20 0.7x + 10 = 0.4(x + 40) Reorder the terms: 10 + 0.7x = 0.4(x + 40) Reorder the terms: 10 + 0.7x = 0.4(40 + x) 10 + 0.7x = (40 * 0.4 + x * 0.4) 10 + 0.7x = (16 + 0.4x) Solving 10 + 0.7x = 16 + 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. 10 + 0.7x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.7x + -0.4x = 0.3x 10 + 0.3x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 10 + 0.3x = 16 + 0.0 10 + 0.3x = 16 Add '-10' to each side of the equation. 10 + -10 + 0.3x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 0.3x = 16 + -10 0.3x = 16 + -10 Combine like terms: 16 + -10 = 6 0.3x = 6 Divide each side by '0.3'. x = 20 Simplifying x = 20
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