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Simplifying 0.8x + -0.7(60 + x) = 0.65(60) 0.8x + (60 * -0.7 + x * -0.7) = 0.65(60) 0.8x + (-42 + -0.7x) = 0.65(60) Reorder the terms: -42 + 0.8x + -0.7x = 0.65(60) Combine like terms: 0.8x + -0.7x = 0.1x -42 + 0.1x = 0.65(60) Multiply 0.65 * 60 -42 + 0.1x = 39 Solving -42 + 0.1x = 39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 0.1x = 39 + 42 Combine like terms: -42 + 42 = 0 0 + 0.1x = 39 + 42 0.1x = 39 + 42 Combine like terms: 39 + 42 = 81 0.1x = 81 Divide each side by '0.1'. x = 810 Simplifying x = 810
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