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Simplifying 7(x + -8) + -1(x + -7) = x + 7 + -1(x + -6) Reorder the terms: 7(-8 + x) + -1(x + -7) = x + 7 + -1(x + -6) (-8 * 7 + x * 7) + -1(x + -7) = x + 7 + -1(x + -6) (-56 + 7x) + -1(x + -7) = x + 7 + -1(x + -6) Reorder the terms: -56 + 7x + -1(-7 + x) = x + 7 + -1(x + -6) -56 + 7x + (-7 * -1 + x * -1) = x + 7 + -1(x + -6) -56 + 7x + (7 + -1x) = x + 7 + -1(x + -6) Reorder the terms: -56 + 7 + 7x + -1x = x + 7 + -1(x + -6) Combine like terms: -56 + 7 = -49 -49 + 7x + -1x = x + 7 + -1(x + -6) Combine like terms: 7x + -1x = 6x -49 + 6x = x + 7 + -1(x + -6) Reorder the terms: -49 + 6x = x + 7 + -1(-6 + x) -49 + 6x = x + 7 + (-6 * -1 + x * -1) -49 + 6x = x + 7 + (6 + -1x) Reorder the terms: -49 + 6x = 7 + 6 + x + -1x Combine like terms: 7 + 6 = 13 -49 + 6x = 13 + x + -1x Combine like terms: x + -1x = 0 -49 + 6x = 13 + 0 -49 + 6x = 13 Solving -49 + 6x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 6x = 13 + 49 Combine like terms: -49 + 49 = 0 0 + 6x = 13 + 49 6x = 13 + 49 Combine like terms: 13 + 49 = 62 6x = 62 Divide each side by '6'. x = 10.33333333 Simplifying x = 10.33333333
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