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Simplifying (10x + -2) + (5x + -8) + (4.5 + -5) = 180 Reorder the terms: (-2 + 10x) + (5x + -8) + (4.5 + -5) = 180 Remove parenthesis around (-2 + 10x) -2 + 10x + (5x + -8) + (4.5 + -5) = 180 Reorder the terms: -2 + 10x + (-8 + 5x) + (4.5 + -5) = 180 Remove parenthesis around (-8 + 5x) -2 + 10x + -8 + 5x + (4.5 + -5) = 180 Combine like terms: 4.5 + -5 = -0.5 -2 + 10x + -8 + 5x + (-0.5) = 180 -2 + 10x + -8 + 5x + -0.5 = 180 Reorder the terms: -2 + -8 + -0.5 + 10x + 5x = 180 Combine like terms: -2 + -8 = -10 -10 + -0.5 + 10x + 5x = 180 Combine like terms: -10 + -0.5 = -10.5 -10.5 + 10x + 5x = 180 Combine like terms: 10x + 5x = 15x -10.5 + 15x = 180 Solving -10.5 + 15x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5' to each side of the equation. -10.5 + 10.5 + 15x = 180 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + 15x = 180 + 10.5 15x = 180 + 10.5 Combine like terms: 180 + 10.5 = 190.5 15x = 190.5 Divide each side by '15'. x = 12.7 Simplifying x = 12.7
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