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Simplifying -1(x + 9) = 2(3x + -1) Reorder the terms: -1(9 + x) = 2(3x + -1) (9 * -1 + x * -1) = 2(3x + -1) (-9 + -1x) = 2(3x + -1) Reorder the terms: -9 + -1x = 2(-1 + 3x) -9 + -1x = (-1 * 2 + 3x * 2) -9 + -1x = (-2 + 6x) Solving -9 + -1x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + -1x + -6x = -2 + 6x + -6x Combine like terms: -1x + -6x = -7x -9 + -7x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -7x = -2 + 0 -9 + -7x = -2 Add '9' to each side of the equation. -9 + 9 + -7x = -2 + 9 Combine like terms: -9 + 9 = 0 0 + -7x = -2 + 9 -7x = -2 + 9 Combine like terms: -2 + 9 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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