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Simplifying 4x + 6 = x + 102 Reorder the terms: 6 + 4x = x + 102 Reorder the terms: 6 + 4x = 102 + x Solving 6 + 4x = 102 + 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. 6 + 4x + -1x = 102 + x + -1x Combine like terms: 4x + -1x = 3x 6 + 3x = 102 + x + -1x Combine like terms: x + -1x = 0 6 + 3x = 102 + 0 6 + 3x = 102 Add '-6' to each side of the equation. 6 + -6 + 3x = 102 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 102 + -6 3x = 102 + -6 Combine like terms: 102 + -6 = 96 3x = 96 Divide each side by '3'. x = 32 Simplifying x = 32
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