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Simplifying -4(x + 9) = 2x + -6 Reorder the terms: -4(9 + x) = 2x + -6 (9 * -4 + x * -4) = 2x + -6 (-36 + -4x) = 2x + -6 Reorder the terms: -36 + -4x = -6 + 2x Solving -36 + -4x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -36 + -4x + -2x = -6 + 2x + -2x Combine like terms: -4x + -2x = -6x -36 + -6x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + -6x = -6 + 0 -36 + -6x = -6 Add '36' to each side of the equation. -36 + 36 + -6x = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -6x = -6 + 36 -6x = -6 + 36 Combine like terms: -6 + 36 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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