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Simplifying 7(x + 5) = 4(8x + 40) Reorder the terms: 7(5 + x) = 4(8x + 40) (5 * 7 + x * 7) = 4(8x + 40) (35 + 7x) = 4(8x + 40) Reorder the terms: 35 + 7x = 4(40 + 8x) 35 + 7x = (40 * 4 + 8x * 4) 35 + 7x = (160 + 32x) Solving 35 + 7x = 160 + 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 + 7x + -32x = 160 + 32x + -32x Combine like terms: 7x + -32x = -25x 35 + -25x = 160 + 32x + -32x Combine like terms: 32x + -32x = 0 35 + -25x = 160 + 0 35 + -25x = 160 Add '-35' to each side of the equation. 35 + -35 + -25x = 160 + -35 Combine like terms: 35 + -35 = 0 0 + -25x = 160 + -35 -25x = 160 + -35 Combine like terms: 160 + -35 = 125 -25x = 125 Divide each side by '-25'. x = -5 Simplifying x = -5
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