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Simplifying 5.7(x) = 7.8(x + 10) Reorder the terms: 5.7x = 7.8(10 + x) 5.7x = (10 * 7.8 + x * 7.8) 5.7x = (78 + 7.8x) Solving 5.7x = 78 + 7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8x' to each side of the equation. 5.7x + -7.8x = 78 + 7.8x + -7.8x Combine like terms: 5.7x + -7.8x = -2.1x -2.1x = 78 + 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 -2.1x = 78 + 0.0 -2.1x = 78 Divide each side by '-2.1'. x = -37.14285714 Simplifying x = -37.14285714
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