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Simplifying 0.1(x + 60) + 0.7(x + -90) = 7 Reorder the terms: 0.1(60 + x) + 0.7(x + -90) = 7 (60 * 0.1 + x * 0.1) + 0.7(x + -90) = 7 (6 + 0.1x) + 0.7(x + -90) = 7 Reorder the terms: 6 + 0.1x + 0.7(-90 + x) = 7 6 + 0.1x + (-90 * 0.7 + x * 0.7) = 7 6 + 0.1x + (-63 + 0.7x) = 7 Reorder the terms: 6 + -63 + 0.1x + 0.7x = 7 Combine like terms: 6 + -63 = -57 -57 + 0.1x + 0.7x = 7 Combine like terms: 0.1x + 0.7x = 0.8x -57 + 0.8x = 7 Solving -57 + 0.8x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 0.8x = 7 + 57 Combine like terms: -57 + 57 = 0 0 + 0.8x = 7 + 57 0.8x = 7 + 57 Combine like terms: 7 + 57 = 64 0.8x = 64 Divide each side by '0.8'. x = 80 Simplifying x = 80
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