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Simplifying -6.65x + 4(7.775x + -13.0625) = 25.2x + -1176.5 Reorder the terms: -6.65x + 4(-13.0625 + 7.775x) = 25.2x + -1176.5 -6.65x + (-13.0625 * 4 + 7.775x * 4) = 25.2x + -1176.5 -6.65x + (-52.25 + 31.1x) = 25.2x + -1176.5 Reorder the terms: -52.25 + -6.65x + 31.1x = 25.2x + -1176.5 Combine like terms: -6.65x + 31.1x = 24.45x -52.25 + 24.45x = 25.2x + -1176.5 Reorder the terms: -52.25 + 24.45x = -1176.5 + 25.2x Solving -52.25 + 24.45x = -1176.5 + 25.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25.2x' to each side of the equation. -52.25 + 24.45x + -25.2x = -1176.5 + 25.2x + -25.2x Combine like terms: 24.45x + -25.2x = -0.75x -52.25 + -0.75x = -1176.5 + 25.2x + -25.2x Combine like terms: 25.2x + -25.2x = 0.0 -52.25 + -0.75x = -1176.5 + 0.0 -52.25 + -0.75x = -1176.5 Add '52.25' to each side of the equation. -52.25 + 52.25 + -0.75x = -1176.5 + 52.25 Combine like terms: -52.25 + 52.25 = 0.00 0.00 + -0.75x = -1176.5 + 52.25 -0.75x = -1176.5 + 52.25 Combine like terms: -1176.5 + 52.25 = -1124.25 -0.75x = -1124.25 Divide each side by '-0.75'. x = 1499 Simplifying x = 1499
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