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Simplifying 4(x + -9) + -1(9 + 2x) = x Reorder the terms: 4(-9 + x) + -1(9 + 2x) = x (-9 * 4 + x * 4) + -1(9 + 2x) = x (-36 + 4x) + -1(9 + 2x) = x -36 + 4x + (9 * -1 + 2x * -1) = x -36 + 4x + (-9 + -2x) = x Reorder the terms: -36 + -9 + 4x + -2x = x Combine like terms: -36 + -9 = -45 -45 + 4x + -2x = x Combine like terms: 4x + -2x = 2x -45 + 2x = x Solving -45 + 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. -45 + 2x + -1x = x + -1x Combine like terms: 2x + -1x = 1x -45 + 1x = x + -1x Combine like terms: x + -1x = 0 -45 + 1x = 0 Add '45' to each side of the equation. -45 + 45 + 1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = 0 + 45 1x = 0 + 45 Combine like terms: 0 + 45 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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