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Simplifying -0.2(40) + 0.7x = 0.4(40 + x) Multiply -0.2 * 40 -8 + 0.7x = 0.4(40 + x) -8 + 0.7x = (40 * 0.4 + x * 0.4) -8 + 0.7x = (16 + 0.4x) Solving -8 + 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. -8 + 0.7x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.7x + -0.4x = 0.3x -8 + 0.3x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -8 + 0.3x = 16 + 0.0 -8 + 0.3x = 16 Add '8' to each side of the equation. -8 + 8 + 0.3x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 0.3x = 16 + 8 0.3x = 16 + 8 Combine like terms: 16 + 8 = 24 0.3x = 24 Divide each side by '0.3'. x = 80 Simplifying x = 80
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