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Simplifying -2x + 45 = 2x + 17 Reorder the terms: 45 + -2x = 2x + 17 Reorder the terms: 45 + -2x = 17 + 2x Solving 45 + -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. 45 + -2x + -2x = 17 + 2x + -2x Combine like terms: -2x + -2x = -4x 45 + -4x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -4x = 17 + 0 45 + -4x = 17 Add '-45' to each side of the equation. 45 + -45 + -4x = 17 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 17 + -45 -4x = 17 + -45 Combine like terms: 17 + -45 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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