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Simplifying (3x + -5) + (2x + 1) + (0.25x + 7) = 45 Reorder the terms: (-5 + 3x) + (2x + 1) + (0.25x + 7) = 45 Remove parenthesis around (-5 + 3x) -5 + 3x + (2x + 1) + (0.25x + 7) = 45 Reorder the terms: -5 + 3x + (1 + 2x) + (0.25x + 7) = 45 Remove parenthesis around (1 + 2x) -5 + 3x + 1 + 2x + (0.25x + 7) = 45 Reorder the terms: -5 + 3x + 1 + 2x + (7 + 0.25x) = 45 Remove parenthesis around (7 + 0.25x) -5 + 3x + 1 + 2x + 7 + 0.25x = 45 Reorder the terms: -5 + 1 + 7 + 3x + 2x + 0.25x = 45 Combine like terms: -5 + 1 = -4 -4 + 7 + 3x + 2x + 0.25x = 45 Combine like terms: -4 + 7 = 3 3 + 3x + 2x + 0.25x = 45 Combine like terms: 3x + 2x = 5x 3 + 5x + 0.25x = 45 Combine like terms: 5x + 0.25x = 5.25x 3 + 5.25x = 45 Solving 3 + 5.25x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5.25x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 5.25x = 45 + -3 5.25x = 45 + -3 Combine like terms: 45 + -3 = 42 5.25x = 42 Divide each side by '5.25'. x = 8 Simplifying x = 8
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