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Simplifying 24 + -1(8x + 3) = 6(3x + -4) + -13 Reorder the terms: 24 + -1(3 + 8x) = 6(3x + -4) + -13 24 + (3 * -1 + 8x * -1) = 6(3x + -4) + -13 24 + (-3 + -8x) = 6(3x + -4) + -13 Combine like terms: 24 + -3 = 21 21 + -8x = 6(3x + -4) + -13 Reorder the terms: 21 + -8x = 6(-4 + 3x) + -13 21 + -8x = (-4 * 6 + 3x * 6) + -13 21 + -8x = (-24 + 18x) + -13 Reorder the terms: 21 + -8x = -24 + -13 + 18x Combine like terms: -24 + -13 = -37 21 + -8x = -37 + 18x Solving 21 + -8x = -37 + 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 = -37 + 18x + -18x Combine like terms: -8x + -18x = -26x 21 + -26x = -37 + 18x + -18x Combine like terms: 18x + -18x = 0 21 + -26x = -37 + 0 21 + -26x = -37 Add '-21' to each side of the equation. 21 + -21 + -26x = -37 + -21 Combine like terms: 21 + -21 = 0 0 + -26x = -37 + -21 -26x = -37 + -21 Combine like terms: -37 + -21 = -58 -26x = -58 Divide each side by '-26'. x = 2.230769231 Simplifying x = 2.230769231
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