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Simplifying 7(x + -8) + -8x + -7 = x + 7 + -1x + -2 Reorder the terms: 7(-8 + x) + -8x + -7 = x + 7 + -1x + -2 (-8 * 7 + x * 7) + -8x + -7 = x + 7 + -1x + -2 (-56 + 7x) + -8x + -7 = x + 7 + -1x + -2 Reorder the terms: -56 + -7 + 7x + -8x = x + 7 + -1x + -2 Combine like terms: -56 + -7 = -63 -63 + 7x + -8x = x + 7 + -1x + -2 Combine like terms: 7x + -8x = -1x -63 + -1x = x + 7 + -1x + -2 Reorder the terms: -63 + -1x = 7 + -2 + x + -1x Combine like terms: 7 + -2 = 5 -63 + -1x = 5 + x + -1x Combine like terms: x + -1x = 0 -63 + -1x = 5 + 0 -63 + -1x = 5 Solving -63 + -1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -1x = 5 + 63 Combine like terms: -63 + 63 = 0 0 + -1x = 5 + 63 -1x = 5 + 63 Combine like terms: 5 + 63 = 68 -1x = 68 Divide each side by '-1'. x = -68 Simplifying x = -68
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