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Simplifying 4x + 102 = x + 6 Reorder the terms: 102 + 4x = x + 6 Reorder the terms: 102 + 4x = 6 + x Solving 102 + 4x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 102 + 4x + -1x = 6 + x + -1x Combine like terms: 4x + -1x = 3x 102 + 3x = 6 + x + -1x Combine like terms: x + -1x = 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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