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Simplifying 17 = 3x + -2(x + -5) Reorder the terms: 17 = 3x + -2(-5 + x) 17 = 3x + (-5 * -2 + x * -2) 17 = 3x + (10 + -2x) Reorder the terms: 17 = 10 + 3x + -2x Combine like terms: 3x + -2x = 1x 17 = 10 + 1x Solving 17 = 10 + 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. 17 + -1x = 10 + 1x + -1x Combine like terms: 1x + -1x = 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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