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Simplifying 7(4x + -5) + -7(x + -1) + -1(7 + -1x) = 7 Reorder the terms: 7(-5 + 4x) + -7(x + -1) + -1(7 + -1x) = 7 (-5 * 7 + 4x * 7) + -7(x + -1) + -1(7 + -1x) = 7 (-35 + 28x) + -7(x + -1) + -1(7 + -1x) = 7 Reorder the terms: -35 + 28x + -7(-1 + x) + -1(7 + -1x) = 7 -35 + 28x + (-1 * -7 + x * -7) + -1(7 + -1x) = 7 -35 + 28x + (7 + -7x) + -1(7 + -1x) = 7 -35 + 28x + 7 + -7x + (7 * -1 + -1x * -1) = 7 -35 + 28x + 7 + -7x + (-7 + 1x) = 7 Reorder the terms: -35 + 7 + -7 + 28x + -7x + 1x = 7 Combine like terms: -35 + 7 = -28 -28 + -7 + 28x + -7x + 1x = 7 Combine like terms: -28 + -7 = -35 -35 + 28x + -7x + 1x = 7 Combine like terms: 28x + -7x = 21x -35 + 21x + 1x = 7 Combine like terms: 21x + 1x = 22x -35 + 22x = 7 Solving -35 + 22x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 22x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 22x = 7 + 35 22x = 7 + 35 Combine like terms: 7 + 35 = 42 22x = 42 Divide each side by '22'. x = 1.909090909 Simplifying x = 1.909090909
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