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Simplifying -2x + 38 = 2x + 14 Reorder the terms: 38 + -2x = 2x + 14 Reorder the terms: 38 + -2x = 14 + 2x Solving 38 + -2x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 38 + -2x + -2x = 14 + 2x + -2x Combine like terms: -2x + -2x = -4x 38 + -4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + -4x = 14 + 0 38 + -4x = 14 Add '-38' to each side of the equation. 38 + -38 + -4x = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -4x = 14 + -38 -4x = 14 + -38 Combine like terms: 14 + -38 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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