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Simplifying 84(17 + 16) = 24(3x + -18) Combine like terms: 17 + 16 = 33 84(33) = 24(3x + -18) Multiply 84 * 33 2772 = 24(3x + -18) Reorder the terms: 2772 = 24(-18 + 3x) 2772 = (-18 * 24 + 3x * 24) 2772 = (-432 + 72x) Solving 2772 = -432 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 2772 + -72x = -432 + 72x + -72x Combine like terms: 72x + -72x = 0 2772 + -72x = -432 + 0 2772 + -72x = -432 Add '-2772' to each side of the equation. 2772 + -2772 + -72x = -432 + -2772 Combine like terms: 2772 + -2772 = 0 0 + -72x = -432 + -2772 -72x = -432 + -2772 Combine like terms: -432 + -2772 = -3204 -72x = -3204 Divide each side by '-72'. x = 44.5 Simplifying x = 44.5
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