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Simplifying -9 = -7(x + -6) + -1(-8x + 4) Reorder the terms: -9 = -7(-6 + x) + -1(-8x + 4) -9 = (-6 * -7 + x * -7) + -1(-8x + 4) -9 = (42 + -7x) + -1(-8x + 4) Reorder the terms: -9 = 42 + -7x + -1(4 + -8x) -9 = 42 + -7x + (4 * -1 + -8x * -1) -9 = 42 + -7x + (-4 + 8x) Reorder the terms: -9 = 42 + -4 + -7x + 8x Combine like terms: 42 + -4 = 38 -9 = 38 + -7x + 8x Combine like terms: -7x + 8x = 1x -9 = 38 + 1x Solving -9 = 38 + 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. -9 + -1x = 38 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + -1x = 38 + 0 -9 + -1x = 38 Add '9' to each side of the equation. -9 + 9 + -1x = 38 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 38 + 9 -1x = 38 + 9 Combine like terms: 38 + 9 = 47 -1x = 47 Divide each side by '-1'. x = -47 Simplifying x = -47
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