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Simplifying 7 + -5(x + -2) + 2x = 17 + -5 Reorder the terms: 7 + -5(-2 + x) + 2x = 17 + -5 7 + (-2 * -5 + x * -5) + 2x = 17 + -5 7 + (10 + -5x) + 2x = 17 + -5 Combine like terms: 7 + 10 = 17 17 + -5x + 2x = 17 + -5 Combine like terms: -5x + 2x = -3x 17 + -3x = 17 + -5 Combine like terms: 17 + -5 = 12 17 + -3x = 12 Solving 17 + -3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3x = 12 + -17 Combine like terms: 17 + -17 = 0 0 + -3x = 12 + -17 -3x = 12 + -17 Combine like terms: 12 + -17 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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