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Simplifying 5(4x + 7) = 4(8x + 2) Reorder the terms: 5(7 + 4x) = 4(8x + 2) (7 * 5 + 4x * 5) = 4(8x + 2) (35 + 20x) = 4(8x + 2) Reorder the terms: 35 + 20x = 4(2 + 8x) 35 + 20x = (2 * 4 + 8x * 4) 35 + 20x = (8 + 32x) Solving 35 + 20x = 8 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 35 + 20x + -32x = 8 + 32x + -32x Combine like terms: 20x + -32x = -12x 35 + -12x = 8 + 32x + -32x Combine like terms: 32x + -32x = 0 35 + -12x = 8 + 0 35 + -12x = 8 Add '-35' to each side of the equation. 35 + -35 + -12x = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -12x = 8 + -35 -12x = 8 + -35 Combine like terms: 8 + -35 = -27 -12x = -27 Divide each side by '-12'. x = 2.25 Simplifying x = 2.25
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