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Simplifying -9 = -4(x + -2) + -1(-5x + 7) Reorder the terms: -9 = -4(-2 + x) + -1(-5x + 7) -9 = (-2 * -4 + x * -4) + -1(-5x + 7) -9 = (8 + -4x) + -1(-5x + 7) Reorder the terms: -9 = 8 + -4x + -1(7 + -5x) -9 = 8 + -4x + (7 * -1 + -5x * -1) -9 = 8 + -4x + (-7 + 5x) Reorder the terms: -9 = 8 + -7 + -4x + 5x Combine like terms: 8 + -7 = 1 -9 = 1 + -4x + 5x Combine like terms: -4x + 5x = 1x -9 = 1 + 1x Solving -9 = 1 + 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 = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + -1x = 1 + 0 -9 + -1x = 1 Add '9' to each side of the equation. -9 + 9 + -1x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 1 + 9 -1x = 1 + 9 Combine like terms: 1 + 9 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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