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Simplifying 3x + 17 = x(2) + 10 Reorder the terms: 17 + 3x = x(2) + 10 Reorder the terms for easier multiplication: 17 + 3x = 2x + 10 Reorder the terms: 17 + 3x = 10 + 2x Solving 17 + 3x = 10 + 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. 17 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x 17 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 1x = 10 + 0 17 + 1x = 10 Add '-17' to each side of the equation. 17 + -17 + 1x = 10 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 10 + -17 1x = 10 + -17 Combine like terms: 10 + -17 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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