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Simplifying (6.75x + 0.75x + 2.75) + (-6.24x + 3.25x + -1.06) = 0 Reorder the terms: (2.75 + 6.75x + 0.75x) + (-6.24x + 3.25x + -1.06) = 0 Combine like terms: 6.75x + 0.75x = 7.5x (2.75 + 7.5x) + (-6.24x + 3.25x + -1.06) = 0 Remove parenthesis around (2.75 + 7.5x) 2.75 + 7.5x + (-6.24x + 3.25x + -1.06) = 0 Reorder the terms: 2.75 + 7.5x + (-1.06 + -6.24x + 3.25x) = 0 Combine like terms: -6.24x + 3.25x = -2.99x 2.75 + 7.5x + (-1.06 + -2.99x) = 0 Remove parenthesis around (-1.06 + -2.99x) 2.75 + 7.5x + -1.06 + -2.99x = 0 Reorder the terms: 2.75 + -1.06 + 7.5x + -2.99x = 0 Combine like terms: 2.75 + -1.06 = 1.69 1.69 + 7.5x + -2.99x = 0 Combine like terms: 7.5x + -2.99x = 4.51x 1.69 + 4.51x = 0 Solving 1.69 + 4.51x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.69' to each side of the equation. 1.69 + -1.69 + 4.51x = 0 + -1.69 Combine like terms: 1.69 + -1.69 = 0.00 0.00 + 4.51x = 0 + -1.69 4.51x = 0 + -1.69 Combine like terms: 0 + -1.69 = -1.69 4.51x = -1.69 Divide each side by '4.51'. x = -0.3747228381 Simplifying x = -0.3747228381
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