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Simplifying 24(-8x + 3) = -6(3x + -4) + -13 Reorder the terms: 24(3 + -8x) = -6(3x + -4) + -13 (3 * 24 + -8x * 24) = -6(3x + -4) + -13 (72 + -192x) = -6(3x + -4) + -13 Reorder the terms: 72 + -192x = -6(-4 + 3x) + -13 72 + -192x = (-4 * -6 + 3x * -6) + -13 72 + -192x = (24 + -18x) + -13 Reorder the terms: 72 + -192x = 24 + -13 + -18x Combine like terms: 24 + -13 = 11 72 + -192x = 11 + -18x Solving 72 + -192x = 11 + -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. 72 + -192x + 18x = 11 + -18x + 18x Combine like terms: -192x + 18x = -174x 72 + -174x = 11 + -18x + 18x Combine like terms: -18x + 18x = 0 72 + -174x = 11 + 0 72 + -174x = 11 Add '-72' to each side of the equation. 72 + -72 + -174x = 11 + -72 Combine like terms: 72 + -72 = 0 0 + -174x = 11 + -72 -174x = 11 + -72 Combine like terms: 11 + -72 = -61 -174x = -61 Divide each side by '-174'. x = 0.3505747126 Simplifying x = 0.3505747126
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