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Simplifying -3(6 + 3x) + 1 = -8x + -24 (6 * -3 + 3x * -3) + 1 = -8x + -24 (-18 + -9x) + 1 = -8x + -24 Reorder the terms: -18 + 1 + -9x = -8x + -24 Combine like terms: -18 + 1 = -17 -17 + -9x = -8x + -24 Reorder the terms: -17 + -9x = -24 + -8x Solving -17 + -9x = -24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -17 + -9x + 8x = -24 + -8x + 8x Combine like terms: -9x + 8x = -1x -17 + -1x = -24 + -8x + 8x Combine like terms: -8x + 8x = 0 -17 + -1x = -24 + 0 -17 + -1x = -24 Add '17' to each side of the equation. -17 + 17 + -1x = -24 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = -24 + 17 -1x = -24 + 17 Combine like terms: -24 + 17 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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