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Simplifying 0.5(80) + 0.7x = 0.6(80 + x) Multiply 0.5 * 80 40 + 0.7x = 0.6(80 + x) 40 + 0.7x = (80 * 0.6 + x * 0.6) 40 + 0.7x = (48 + 0.6x) Solving 40 + 0.7x = 48 + 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. 40 + 0.7x + -0.6x = 48 + 0.6x + -0.6x Combine like terms: 0.7x + -0.6x = 0.1x 40 + 0.1x = 48 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 40 + 0.1x = 48 + 0.0 40 + 0.1x = 48 Add '-40' to each side of the equation. 40 + -40 + 0.1x = 48 + -40 Combine like terms: 40 + -40 = 0 0 + 0.1x = 48 + -40 0.1x = 48 + -40 Combine like terms: 48 + -40 = 8 0.1x = 8 Divide each side by '0.1'. x = 80 Simplifying x = 80
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