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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 = -3 -3 + -5x + 2x = 17 + -5 Combine like terms: -5x + 2x = -3x -3 + -3x = 17 + -5 Combine like terms: 17 + -5 = 12 -3 + -3x = 12 Solving -3 + -3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -3x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 12 + 3 -3x = 12 + 3 Combine like terms: 12 + 3 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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