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Simplifying 5(2x + -6) + 9(x + 1) = 17 Reorder the terms: 5(-6 + 2x) + 9(x + 1) = 17 (-6 * 5 + 2x * 5) + 9(x + 1) = 17 (-30 + 10x) + 9(x + 1) = 17 Reorder the terms: -30 + 10x + 9(1 + x) = 17 -30 + 10x + (1 * 9 + x * 9) = 17 -30 + 10x + (9 + 9x) = 17 Reorder the terms: -30 + 9 + 10x + 9x = 17 Combine like terms: -30 + 9 = -21 -21 + 10x + 9x = 17 Combine like terms: 10x + 9x = 19x -21 + 19x = 17 Solving -21 + 19x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 19x = 17 + 21 Combine like terms: -21 + 21 = 0 0 + 19x = 17 + 21 19x = 17 + 21 Combine like terms: 17 + 21 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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