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Simplifying (8x + 24) * 8 = (10x + -30) * 10 Reorder the terms: (24 + 8x) * 8 = (10x + -30) * 10 Reorder the terms for easier multiplication: 8(24 + 8x) = (10x + -30) * 10 (24 * 8 + 8x * 8) = (10x + -30) * 10 (192 + 64x) = (10x + -30) * 10 Reorder the terms: 192 + 64x = (-30 + 10x) * 10 Reorder the terms for easier multiplication: 192 + 64x = 10(-30 + 10x) 192 + 64x = (-30 * 10 + 10x * 10) 192 + 64x = (-300 + 100x) Solving 192 + 64x = -300 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 192 + 64x + -100x = -300 + 100x + -100x Combine like terms: 64x + -100x = -36x 192 + -36x = -300 + 100x + -100x Combine like terms: 100x + -100x = 0 192 + -36x = -300 + 0 192 + -36x = -300 Add '-192' to each side of the equation. 192 + -192 + -36x = -300 + -192 Combine like terms: 192 + -192 = 0 0 + -36x = -300 + -192 -36x = -300 + -192 Combine like terms: -300 + -192 = -492 -36x = -492 Divide each side by '-36'. x = 13.66666667 Simplifying x = 13.66666667
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