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Simplifying -3(17 + -1x) = -2(x + 8) (17 * -3 + -1x * -3) = -2(x + 8) (-51 + 3x) = -2(x + 8) Reorder the terms: -51 + 3x = -2(8 + x) -51 + 3x = (8 * -2 + x * -2) -51 + 3x = (-16 + -2x) Solving -51 + 3x = -16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -51 + 3x + 2x = -16 + -2x + 2x Combine like terms: 3x + 2x = 5x -51 + 5x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 -51 + 5x = -16 + 0 -51 + 5x = -16 Add '51' to each side of the equation. -51 + 51 + 5x = -16 + 51 Combine like terms: -51 + 51 = 0 0 + 5x = -16 + 51 5x = -16 + 51 Combine like terms: -16 + 51 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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