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Simplifying 40 = (x + 6) + (x + 7) + (2x + -5) Reorder the terms: 40 = (6 + x) + (x + 7) + (2x + -5) Remove parenthesis around (6 + x) 40 = 6 + x + (x + 7) + (2x + -5) Reorder the terms: 40 = 6 + x + (7 + x) + (2x + -5) Remove parenthesis around (7 + x) 40 = 6 + x + 7 + x + (2x + -5) Reorder the terms: 40 = 6 + x + 7 + x + (-5 + 2x) Remove parenthesis around (-5 + 2x) 40 = 6 + x + 7 + x + -5 + 2x Reorder the terms: 40 = 6 + 7 + -5 + x + x + 2x Combine like terms: 6 + 7 = 13 40 = 13 + -5 + x + x + 2x Combine like terms: 13 + -5 = 8 40 = 8 + x + x + 2x Combine like terms: x + x = 2x 40 = 8 + 2x + 2x Combine like terms: 2x + 2x = 4x 40 = 8 + 4x Solving 40 = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40 + -4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + -4x = 8 + 0 40 + -4x = 8 Add '-40' to each side of the equation. 40 + -40 + -4x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 8 + -40 -4x = 8 + -40 Combine like terms: 8 + -40 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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