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Simplifying (6x + 1) + (4x + -6) + 45 = 180 Reorder the terms: (1 + 6x) + (4x + -6) + 45 = 180 Remove parenthesis around (1 + 6x) 1 + 6x + (4x + -6) + 45 = 180 Reorder the terms: 1 + 6x + (-6 + 4x) + 45 = 180 Remove parenthesis around (-6 + 4x) 1 + 6x + -6 + 4x + 45 = 180 Reorder the terms: 1 + -6 + 45 + 6x + 4x = 180 Combine like terms: 1 + -6 = -5 -5 + 45 + 6x + 4x = 180 Combine like terms: -5 + 45 = 40 40 + 6x + 4x = 180 Combine like terms: 6x + 4x = 10x 40 + 10x = 180 Solving 40 + 10x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 10x = 180 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = 180 + -40 10x = 180 + -40 Combine like terms: 180 + -40 = 140 10x = 140 Divide each side by '10'. x = 14 Simplifying x = 14
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