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Simplifying (3x + -45) + (x + 25) + (0.2x + 153) = 180 Reorder the terms: (-45 + 3x) + (x + 25) + (0.2x + 153) = 180 Remove parenthesis around (-45 + 3x) -45 + 3x + (x + 25) + (0.2x + 153) = 180 Reorder the terms: -45 + 3x + (25 + x) + (0.2x + 153) = 180 Remove parenthesis around (25 + x) -45 + 3x + 25 + x + (0.2x + 153) = 180 Reorder the terms: -45 + 3x + 25 + x + (153 + 0.2x) = 180 Remove parenthesis around (153 + 0.2x) -45 + 3x + 25 + x + 153 + 0.2x = 180 Reorder the terms: -45 + 25 + 153 + 3x + x + 0.2x = 180 Combine like terms: -45 + 25 = -20 -20 + 153 + 3x + x + 0.2x = 180 Combine like terms: -20 + 153 = 133 133 + 3x + x + 0.2x = 180 Combine like terms: 3x + x = 4x 133 + 4x + 0.2x = 180 Combine like terms: 4x + 0.2x = 4.2x 133 + 4.2x = 180 Solving 133 + 4.2x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-133' to each side of the equation. 133 + -133 + 4.2x = 180 + -133 Combine like terms: 133 + -133 = 0 0 + 4.2x = 180 + -133 4.2x = 180 + -133 Combine like terms: 180 + -133 = 47 4.2x = 47 Divide each side by '4.2'. x = 11.19047619 Simplifying x = 11.19047619
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