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Simplifying 2x + 45 = 17x + 10 Reorder the terms: 45 + 2x = 17x + 10 Reorder the terms: 45 + 2x = 10 + 17x Solving 45 + 2x = 10 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 45 + 2x + -17x = 10 + 17x + -17x Combine like terms: 2x + -17x = -15x 45 + -15x = 10 + 17x + -17x Combine like terms: 17x + -17x = 0 45 + -15x = 10 + 0 45 + -15x = 10 Add '-45' to each side of the equation. 45 + -45 + -15x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + -15x = 10 + -45 -15x = 10 + -45 Combine like terms: 10 + -45 = -35 -15x = -35 Divide each side by '-15'. x = 2.333333333 Simplifying x = 2.333333333
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