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Simplifying 8(9x + 24) = -18(x + -3) Reorder the terms: 8(24 + 9x) = -18(x + -3) (24 * 8 + 9x * 8) = -18(x + -3) (192 + 72x) = -18(x + -3) Reorder the terms: 192 + 72x = -18(-3 + x) 192 + 72x = (-3 * -18 + x * -18) 192 + 72x = (54 + -18x) Solving 192 + 72x = 54 + -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. 192 + 72x + 18x = 54 + -18x + 18x Combine like terms: 72x + 18x = 90x 192 + 90x = 54 + -18x + 18x Combine like terms: -18x + 18x = 0 192 + 90x = 54 + 0 192 + 90x = 54 Add '-192' to each side of the equation. 192 + -192 + 90x = 54 + -192 Combine like terms: 192 + -192 = 0 0 + 90x = 54 + -192 90x = 54 + -192 Combine like terms: 54 + -192 = -138 90x = -138 Divide each side by '90'. x = -1.533333333 Simplifying x = -1.533333333
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