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Simplifying 102 = x + 4x + (x + -6) Reorder the terms: 102 = x + 4x + (-6 + x) Remove parenthesis around (-6 + x) 102 = x + 4x + -6 + x Reorder the terms: 102 = -6 + x + 4x + x Combine like terms: x + 4x = 5x 102 = -6 + 5x + x Combine like terms: 5x + x = 6x 102 = -6 + 6x Solving 102 = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 102 + -6x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 102 + -6x = -6 + 0 102 + -6x = -6 Add '-102' to each side of the equation. 102 + -102 + -6x = -6 + -102 Combine like terms: 102 + -102 = 0 0 + -6x = -6 + -102 -6x = -6 + -102 Combine like terms: -6 + -102 = -108 -6x = -108 Divide each side by '-6'. x = 18 Simplifying x = 18
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