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Simplifying (x + -6) + (x + -4) + (12 + -1x) + x + 8 + 12 = 40 Reorder the terms: (-6 + x) + (x + -4) + (12 + -1x) + x + 8 + 12 = 40 Remove parenthesis around (-6 + x) -6 + x + (x + -4) + (12 + -1x) + x + 8 + 12 = 40 Reorder the terms: -6 + x + (-4 + x) + (12 + -1x) + x + 8 + 12 = 40 Remove parenthesis around (-4 + x) -6 + x + -4 + x + (12 + -1x) + x + 8 + 12 = 40 Remove parenthesis around (12 + -1x) -6 + x + -4 + x + 12 + -1x + x + 8 + 12 = 40 Reorder the terms: -6 + -4 + 12 + 8 + 12 + x + x + -1x + x = 40 Combine like terms: -6 + -4 = -10 -10 + 12 + 8 + 12 + x + x + -1x + x = 40 Combine like terms: -10 + 12 = 2 2 + 8 + 12 + x + x + -1x + x = 40 Combine like terms: 2 + 8 = 10 10 + 12 + x + x + -1x + x = 40 Combine like terms: 10 + 12 = 22 22 + x + x + -1x + x = 40 Combine like terms: x + x = 2x 22 + 2x + -1x + x = 40 Combine like terms: 2x + -1x = 1x 22 + 1x + x = 40 Combine like terms: 1x + x = 2x 22 + 2x = 40 Solving 22 + 2x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2x = 40 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 40 + -22 2x = 40 + -22 Combine like terms: 40 + -22 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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