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Simplifying 0.4(40) + 0.7x = 0.6(40 + x) Multiply 0.4 * 40 16 + 0.7x = 0.6(40 + x) 16 + 0.7x = (40 * 0.6 + x * 0.6) 16 + 0.7x = (24 + 0.6x) Solving 16 + 0.7x = 24 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 16 + 0.7x + -0.6x = 24 + 0.6x + -0.6x Combine like terms: 0.7x + -0.6x = 0.1x 16 + 0.1x = 24 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 16 + 0.1x = 24 + 0.0 16 + 0.1x = 24 Add '-16' to each side of the equation. 16 + -16 + 0.1x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 0.1x = 24 + -16 0.1x = 24 + -16 Combine like terms: 24 + -16 = 8 0.1x = 8 Divide each side by '0.1'. x = 80 Simplifying x = 80
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