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Simplifying -4(x + 9) = 2 + -3x Reorder the terms: -4(9 + x) = 2 + -3x (9 * -4 + x * -4) = 2 + -3x (-36 + -4x) = 2 + -3x Solving -36 + -4x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -36 + -4x + 3x = 2 + -3x + 3x Combine like terms: -4x + 3x = -1x -36 + -1x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -36 + -1x = 2 + 0 -36 + -1x = 2 Add '36' to each side of the equation. -36 + 36 + -1x = 2 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = 2 + 36 -1x = 2 + 36 Combine like terms: 2 + 36 = 38 -1x = 38 Divide each side by '-1'. x = -38 Simplifying x = -38
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