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Simplifying -2x + 37 = 2x + 17 Reorder the terms: 37 + -2x = 2x + 17 Reorder the terms: 37 + -2x = 17 + 2x Solving 37 + -2x = 17 + 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. 37 + -2x + -2x = 17 + 2x + -2x Combine like terms: -2x + -2x = -4x 37 + -4x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 37 + -4x = 17 + 0 37 + -4x = 17 Add '-37' to each side of the equation. 37 + -37 + -4x = 17 + -37 Combine like terms: 37 + -37 = 0 0 + -4x = 17 + -37 -4x = 17 + -37 Combine like terms: 17 + -37 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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