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Simplifying 2x + -3(x + 8) + 6 = 17 Reorder the terms: 2x + -3(8 + x) + 6 = 17 2x + (8 * -3 + x * -3) + 6 = 17 2x + (-24 + -3x) + 6 = 17 Reorder the terms: -24 + 6 + 2x + -3x = 17 Combine like terms: -24 + 6 = -18 -18 + 2x + -3x = 17 Combine like terms: 2x + -3x = -1x -18 + -1x = 17 Solving -18 + -1x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 17 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 17 + 18 -1x = 17 + 18 Combine like terms: 17 + 18 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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