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Simplifying -7(x + 1) = -1x + -7 + -4(7x + -5) Reorder the terms: -7(1 + x) = -1x + -7 + -4(7x + -5) (1 * -7 + x * -7) = -1x + -7 + -4(7x + -5) (-7 + -7x) = -1x + -7 + -4(7x + -5) Reorder the terms: -7 + -7x = -1x + -7 + -4(-5 + 7x) -7 + -7x = -1x + -7 + (-5 * -4 + 7x * -4) -7 + -7x = -1x + -7 + (20 + -28x) Reorder the terms: -7 + -7x = -7 + 20 + -1x + -28x Combine like terms: -7 + 20 = 13 -7 + -7x = 13 + -1x + -28x Combine like terms: -1x + -28x = -29x -7 + -7x = 13 + -29x Solving -7 + -7x = 13 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. -7 + -7x + 29x = 13 + -29x + 29x Combine like terms: -7x + 29x = 22x -7 + 22x = 13 + -29x + 29x Combine like terms: -29x + 29x = 0 -7 + 22x = 13 + 0 -7 + 22x = 13 Add '7' to each side of the equation. -7 + 7 + 22x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 22x = 13 + 7 22x = 13 + 7 Combine like terms: 13 + 7 = 20 22x = 20 Divide each side by '22'. x = 0.9090909091 Simplifying x = 0.9090909091
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