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Simplifying -4(x + -2) + -1(-9x + -6) = 4x Reorder the terms: -4(-2 + x) + -1(-9x + -6) = 4x (-2 * -4 + x * -4) + -1(-9x + -6) = 4x (8 + -4x) + -1(-9x + -6) = 4x Reorder the terms: 8 + -4x + -1(-6 + -9x) = 4x 8 + -4x + (-6 * -1 + -9x * -1) = 4x 8 + -4x + (6 + 9x) = 4x Reorder the terms: 8 + 6 + -4x + 9x = 4x Combine like terms: 8 + 6 = 14 14 + -4x + 9x = 4x Combine like terms: -4x + 9x = 5x 14 + 5x = 4x Solving 14 + 5x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 14 + 1x = 4x + -4x Combine like terms: 4x + -4x = 0 14 + 1x = 0 Add '-14' to each side of the equation. 14 + -14 + 1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 0 + -14 1x = 0 + -14 Combine like terms: 0 + -14 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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