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Simplifying 5(7x + -40) = 3 + -4(x + 7) Reorder the terms: 5(-40 + 7x) = 3 + -4(x + 7) (-40 * 5 + 7x * 5) = 3 + -4(x + 7) (-200 + 35x) = 3 + -4(x + 7) Reorder the terms: -200 + 35x = 3 + -4(7 + x) -200 + 35x = 3 + (7 * -4 + x * -4) -200 + 35x = 3 + (-28 + -4x) Combine like terms: 3 + -28 = -25 -200 + 35x = -25 + -4x Solving -200 + 35x = -25 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -200 + 35x + 4x = -25 + -4x + 4x Combine like terms: 35x + 4x = 39x -200 + 39x = -25 + -4x + 4x Combine like terms: -4x + 4x = 0 -200 + 39x = -25 + 0 -200 + 39x = -25 Add '200' to each side of the equation. -200 + 200 + 39x = -25 + 200 Combine like terms: -200 + 200 = 0 0 + 39x = -25 + 200 39x = -25 + 200 Combine like terms: -25 + 200 = 175 39x = 175 Divide each side by '39'. x = 4.487179487 Simplifying x = 4.487179487
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