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Simplifying -4 + -6(3x + 7) = 24 + -8x Reorder the terms: -4 + -6(7 + 3x) = 24 + -8x -4 + (7 * -6 + 3x * -6) = 24 + -8x -4 + (-42 + -18x) = 24 + -8x Combine like terms: -4 + -42 = -46 -46 + -18x = 24 + -8x Solving -46 + -18x = 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. -46 + -18x + 8x = 24 + -8x + 8x Combine like terms: -18x + 8x = -10x -46 + -10x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -46 + -10x = 24 + 0 -46 + -10x = 24 Add '46' to each side of the equation. -46 + 46 + -10x = 24 + 46 Combine like terms: -46 + 46 = 0 0 + -10x = 24 + 46 -10x = 24 + 46 Combine like terms: 24 + 46 = 70 -10x = 70 Divide each side by '-10'. x = -7 Simplifying x = -7
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