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Simplifying -7 = 8(x + 7) + -1(7x + -5) Reorder the terms: -7 = 8(7 + x) + -1(7x + -5) -7 = (7 * 8 + x * 8) + -1(7x + -5) -7 = (56 + 8x) + -1(7x + -5) Reorder the terms: -7 = 56 + 8x + -1(-5 + 7x) -7 = 56 + 8x + (-5 * -1 + 7x * -1) -7 = 56 + 8x + (5 + -7x) Reorder the terms: -7 = 56 + 5 + 8x + -7x Combine like terms: 56 + 5 = 61 -7 = 61 + 8x + -7x Combine like terms: 8x + -7x = 1x -7 = 61 + 1x Solving -7 = 61 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + -1x = 61 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + -1x = 61 + 0 -7 + -1x = 61 Add '7' to each side of the equation. -7 + 7 + -1x = 61 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 61 + 7 -1x = 61 + 7 Combine like terms: 61 + 7 = 68 -1x = 68 Divide each side by '-1'. x = -68 Simplifying x = -68
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