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Simplifying 3(3.5x + 3.75) = 3(4.75x + 4) Reorder the terms: 3(3.75 + 3.5x) = 3(4.75x + 4) (3.75 * 3 + 3.5x * 3) = 3(4.75x + 4) (11.25 + 10.5x) = 3(4.75x + 4) Reorder the terms: 11.25 + 10.5x = 3(4 + 4.75x) 11.25 + 10.5x = (4 * 3 + 4.75x * 3) 11.25 + 10.5x = (12 + 14.25x) Solving 11.25 + 10.5x = 12 + 14.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.25x' to each side of the equation. 11.25 + 10.5x + -14.25x = 12 + 14.25x + -14.25x Combine like terms: 10.5x + -14.25x = -3.75x 11.25 + -3.75x = 12 + 14.25x + -14.25x Combine like terms: 14.25x + -14.25x = 0.00 11.25 + -3.75x = 12 + 0.00 11.25 + -3.75x = 12 Add '-11.25' to each side of the equation. 11.25 + -11.25 + -3.75x = 12 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + -3.75x = 12 + -11.25 -3.75x = 12 + -11.25 Combine like terms: 12 + -11.25 = 0.75 -3.75x = 0.75 Divide each side by '-3.75'. x = -0.2 Simplifying x = -0.2
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