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Simplifying 3(1 + -7x) + -8(7x + 5) = 40 (1 * 3 + -7x * 3) + -8(7x + 5) = 40 (3 + -21x) + -8(7x + 5) = 40 Reorder the terms: 3 + -21x + -8(5 + 7x) = 40 3 + -21x + (5 * -8 + 7x * -8) = 40 3 + -21x + (-40 + -56x) = 40 Reorder the terms: 3 + -40 + -21x + -56x = 40 Combine like terms: 3 + -40 = -37 -37 + -21x + -56x = 40 Combine like terms: -21x + -56x = -77x -37 + -77x = 40 Solving -37 + -77x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -77x = 40 + 37 Combine like terms: -37 + 37 = 0 0 + -77x = 40 + 37 -77x = 40 + 37 Combine like terms: 40 + 37 = 77 -77x = 77 Divide each side by '-77'. x = -1 Simplifying x = -1
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