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Simplifying -3(7x + 6) + 9x = -42 + -8x Reorder the terms: -3(6 + 7x) + 9x = -42 + -8x (6 * -3 + 7x * -3) + 9x = -42 + -8x (-18 + -21x) + 9x = -42 + -8x Combine like terms: -21x + 9x = -12x -18 + -12x = -42 + -8x Solving -18 + -12x = -42 + -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. -18 + -12x + 8x = -42 + -8x + 8x Combine like terms: -12x + 8x = -4x -18 + -4x = -42 + -8x + 8x Combine like terms: -8x + 8x = 0 -18 + -4x = -42 + 0 -18 + -4x = -42 Add '18' to each side of the equation. -18 + 18 + -4x = -42 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = -42 + 18 -4x = -42 + 18 Combine like terms: -42 + 18 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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