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Simplifying 24 + -1(8x + 3) = -6(3x + -4) + -14 Reorder the terms: 24 + -1(3 + 8x) = -6(3x + -4) + -14 24 + (3 * -1 + 8x * -1) = -6(3x + -4) + -14 24 + (-3 + -8x) = -6(3x + -4) + -14 Combine like terms: 24 + -3 = 21 21 + -8x = -6(3x + -4) + -14 Reorder the terms: 21 + -8x = -6(-4 + 3x) + -14 21 + -8x = (-4 * -6 + 3x * -6) + -14 21 + -8x = (24 + -18x) + -14 Reorder the terms: 21 + -8x = 24 + -14 + -18x Combine like terms: 24 + -14 = 10 21 + -8x = 10 + -18x Solving 21 + -8x = 10 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 21 + -8x + 18x = 10 + -18x + 18x Combine like terms: -8x + 18x = 10x 21 + 10x = 10 + -18x + 18x Combine like terms: -18x + 18x = 0 21 + 10x = 10 + 0 21 + 10x = 10 Add '-21' to each side of the equation. 21 + -21 + 10x = 10 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = 10 + -21 10x = 10 + -21 Combine like terms: 10 + -21 = -11 10x = -11 Divide each side by '10'. x = -1.1 Simplifying x = -1.1
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