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Simplifying -4(x + 2) + -1(-6x + -9) = x Reorder the terms: -4(2 + x) + -1(-6x + -9) = x (2 * -4 + x * -4) + -1(-6x + -9) = x (-8 + -4x) + -1(-6x + -9) = x Reorder the terms: -8 + -4x + -1(-9 + -6x) = x -8 + -4x + (-9 * -1 + -6x * -1) = x -8 + -4x + (9 + 6x) = x Reorder the terms: -8 + 9 + -4x + 6x = x Combine like terms: -8 + 9 = 1 1 + -4x + 6x = x Combine like terms: -4x + 6x = 2x 1 + 2x = x Solving 1 + 2x = x 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. 1 + 2x + -1x = x + -1x Combine like terms: 2x + -1x = 1x 1 + 1x = x + -1x Combine like terms: x + -1x = 0 1 + 1x = 0 Add '-1' to each side of the equation. 1 + -1 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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