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Simplifying 4x + 102 = 6x + 28 Reorder the terms: 102 + 4x = 6x + 28 Reorder the terms: 102 + 4x = 28 + 6x Solving 102 + 4x = 28 + 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 + 4x + -6x = 28 + 6x + -6x Combine like terms: 4x + -6x = -2x 102 + -2x = 28 + 6x + -6x Combine like terms: 6x + -6x = 0 102 + -2x = 28 + 0 102 + -2x = 28 Add '-102' to each side of the equation. 102 + -102 + -2x = 28 + -102 Combine like terms: 102 + -102 = 0 0 + -2x = 28 + -102 -2x = 28 + -102 Combine like terms: 28 + -102 = -74 -2x = -74 Divide each side by '-2'. x = 37 Simplifying x = 37
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