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Simplifying 10x + 17 = 2 + 3(x + 5) + -2x Reorder the terms: 17 + 10x = 2 + 3(x + 5) + -2x Reorder the terms: 17 + 10x = 2 + 3(5 + x) + -2x 17 + 10x = 2 + (5 * 3 + x * 3) + -2x 17 + 10x = 2 + (15 + 3x) + -2x Combine like terms: 2 + 15 = 17 17 + 10x = 17 + 3x + -2x Combine like terms: 3x + -2x = 1x 17 + 10x = 17 + 1x Add '-17' to each side of the equation. 17 + -17 + 10x = 17 + -17 + 1x Combine like terms: 17 + -17 = 0 0 + 10x = 17 + -17 + 1x 10x = 17 + -17 + 1x Combine like terms: 17 + -17 = 0 10x = 0 + 1x 10x = 1x Solving 10x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10x + -1x = 1x + -1x Combine like terms: 10x + -1x = 9x 9x = 1x + -1x Combine like terms: 1x + -1x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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