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Simplifying 4x + 38 = 6x + 14 Reorder the terms: 38 + 4x = 6x + 14 Reorder the terms: 38 + 4x = 14 + 6x Solving 38 + 4x = 14 + 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. 38 + 4x + -6x = 14 + 6x + -6x Combine like terms: 4x + -6x = -2x 38 + -2x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + -2x = 14 + 0 38 + -2x = 14 Add '-38' to each side of the equation. 38 + -38 + -2x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -2x = 14 + -38 -2x = 14 + -38 Combine like terms: 14 + -38 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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