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Simplifying -4(2x + 9) = -2(x + -3) Reorder the terms: -4(9 + 2x) = -2(x + -3) (9 * -4 + 2x * -4) = -2(x + -3) (-36 + -8x) = -2(x + -3) Reorder the terms: -36 + -8x = -2(-3 + x) -36 + -8x = (-3 * -2 + x * -2) -36 + -8x = (6 + -2x) Solving -36 + -8x = 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 + -8x + 2x = 6 + -2x + 2x Combine like terms: -8x + 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 = 42 -6x = 42 Divide each side by '-6'. x = -7 Simplifying x = -7
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