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Simplifying (13x + -5) * 5 + 21 = (3 + 8x) * 8 Reorder the terms: (-5 + 13x) * 5 + 21 = (3 + 8x) * 8 Reorder the terms for easier multiplication: 5(-5 + 13x) + 21 = (3 + 8x) * 8 (-5 * 5 + 13x * 5) + 21 = (3 + 8x) * 8 (-25 + 65x) + 21 = (3 + 8x) * 8 Reorder the terms: -25 + 21 + 65x = (3 + 8x) * 8 Combine like terms: -25 + 21 = -4 -4 + 65x = (3 + 8x) * 8 Reorder the terms for easier multiplication: -4 + 65x = 8(3 + 8x) -4 + 65x = (3 * 8 + 8x * 8) -4 + 65x = (24 + 64x) Solving -4 + 65x = 24 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. -4 + 65x + -64x = 24 + 64x + -64x Combine like terms: 65x + -64x = 1x -4 + 1x = 24 + 64x + -64x Combine like terms: 64x + -64x = 0 -4 + 1x = 24 + 0 -4 + 1x = 24 Add '4' to each side of the equation. -4 + 4 + 1x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 24 + 4 1x = 24 + 4 Combine like terms: 24 + 4 = 28 1x = 28 Divide each side by '1'. x = 28 Simplifying x = 28
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