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Simplifying 0.75x + 37 + -2.75 = 3(4 + x) Reorder the terms: 37 + -2.75 + 0.75x = 3(4 + x) Combine like terms: 37 + -2.75 = 34.25 34.25 + 0.75x = 3(4 + x) 34.25 + 0.75x = (4 * 3 + x * 3) 34.25 + 0.75x = (12 + 3x) Solving 34.25 + 0.75x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 34.25 + 0.75x + -3x = 12 + 3x + -3x Combine like terms: 0.75x + -3x = -2.25x 34.25 + -2.25x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 34.25 + -2.25x = 12 + 0 34.25 + -2.25x = 12 Add '-34.25' to each side of the equation. 34.25 + -34.25 + -2.25x = 12 + -34.25 Combine like terms: 34.25 + -34.25 = 0.00 0.00 + -2.25x = 12 + -34.25 -2.25x = 12 + -34.25 Combine like terms: 12 + -34.25 = -22.25 -2.25x = -22.25 Divide each side by '-2.25'. x = 9.888888889 Simplifying x = 9.888888889
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