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Simplifying 102 + x = (4x + 6) Reorder the terms: 102 + x = (6 + 4x) Remove parenthesis around (6 + 4x) 102 + x = 6 + 4x Solving 102 + x = 6 + 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. 102 + x + -4x = 6 + 4x + -4x Combine like terms: x + -4x = -3x 102 + -3x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 102 + -3x = 6 + 0 102 + -3x = 6 Add '-102' to each side of the equation. 102 + -102 + -3x = 6 + -102 Combine like terms: 102 + -102 = 0 0 + -3x = 6 + -102 -3x = 6 + -102 Combine like terms: 6 + -102 = -96 -3x = -96 Divide each side by '-3'. x = 32 Simplifying x = 32
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