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Simplifying 74 = x + (x + -6) + ((x + -6) + 8) Reorder the terms: 74 = x + (-6 + x) + ((x + -6) + 8) Remove parenthesis around (-6 + x) 74 = x + -6 + x + ((x + -6) + 8) Reorder the terms: 74 = x + -6 + x + ((-6 + x) + 8) Remove parenthesis around (-6 + x) 74 = x + -6 + x + (-6 + x + 8) Reorder the terms: 74 = x + -6 + x + (-6 + 8 + x) Combine like terms: -6 + 8 = 2 74 = x + -6 + x + (2 + x) Remove parenthesis around (2 + x) 74 = x + -6 + x + 2 + x Reorder the terms: 74 = -6 + 2 + x + x + x Combine like terms: -6 + 2 = -4 74 = -4 + x + x + x Combine like terms: x + x = 2x 74 = -4 + 2x + x Combine like terms: 2x + x = 3x 74 = -4 + 3x Solving 74 = -4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 74 + -3x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 74 + -3x = -4 + 0 74 + -3x = -4 Add '-74' to each side of the equation. 74 + -74 + -3x = -4 + -74 Combine like terms: 74 + -74 = 0 0 + -3x = -4 + -74 -3x = -4 + -74 Combine like terms: -4 + -74 = -78 -3x = -78 Divide each side by '-3'. x = 26 Simplifying x = 26
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