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Simplifying 7(x + -1) = 7x + 5 + -2(-8x + -1) Reorder the terms: 7(-1 + x) = 7x + 5 + -2(-8x + -1) (-1 * 7 + x * 7) = 7x + 5 + -2(-8x + -1) (-7 + 7x) = 7x + 5 + -2(-8x + -1) Reorder the terms: -7 + 7x = 7x + 5 + -2(-1 + -8x) -7 + 7x = 7x + 5 + (-1 * -2 + -8x * -2) -7 + 7x = 7x + 5 + (2 + 16x) Reorder the terms: -7 + 7x = 5 + 2 + 7x + 16x Combine like terms: 5 + 2 = 7 -7 + 7x = 7 + 7x + 16x Combine like terms: 7x + 16x = 23x -7 + 7x = 7 + 23x Solving -7 + 7x = 7 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -7 + 7x + -23x = 7 + 23x + -23x Combine like terms: 7x + -23x = -16x -7 + -16x = 7 + 23x + -23x Combine like terms: 23x + -23x = 0 -7 + -16x = 7 + 0 -7 + -16x = 7 Add '7' to each side of the equation. -7 + 7 + -16x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -16x = 7 + 7 -16x = 7 + 7 Combine like terms: 7 + 7 = 14 -16x = 14 Divide each side by '-16'. x = -0.875 Simplifying x = -0.875
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