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Simplifying 5(3x + 4) = 8(8x + 3) + 3 Reorder the terms: 5(4 + 3x) = 8(8x + 3) + 3 (4 * 5 + 3x * 5) = 8(8x + 3) + 3 (20 + 15x) = 8(8x + 3) + 3 Reorder the terms: 20 + 15x = 8(3 + 8x) + 3 20 + 15x = (3 * 8 + 8x * 8) + 3 20 + 15x = (24 + 64x) + 3 Reorder the terms: 20 + 15x = 24 + 3 + 64x Combine like terms: 24 + 3 = 27 20 + 15x = 27 + 64x Solving 20 + 15x = 27 + 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. 20 + 15x + -64x = 27 + 64x + -64x Combine like terms: 15x + -64x = -49x 20 + -49x = 27 + 64x + -64x Combine like terms: 64x + -64x = 0 20 + -49x = 27 + 0 20 + -49x = 27 Add '-20' to each side of the equation. 20 + -20 + -49x = 27 + -20 Combine like terms: 20 + -20 = 0 0 + -49x = 27 + -20 -49x = 27 + -20 Combine like terms: 27 + -20 = 7 -49x = 7 Divide each side by '-49'. x = -0.1428571429 Simplifying x = -0.1428571429
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