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Simplifying 9(x + -2) = -6(4 + -1x) + 18 Reorder the terms: 9(-2 + x) = -6(4 + -1x) + 18 (-2 * 9 + x * 9) = -6(4 + -1x) + 18 (-18 + 9x) = -6(4 + -1x) + 18 -18 + 9x = (4 * -6 + -1x * -6) + 18 -18 + 9x = (-24 + 6x) + 18 Reorder the terms: -18 + 9x = -24 + 18 + 6x Combine like terms: -24 + 18 = -6 -18 + 9x = -6 + 6x Solving -18 + 9x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + 9x + -6x = -6 + 6x + -6x Combine like terms: 9x + -6x = 3x -18 + 3x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + 3x = -6 + 0 -18 + 3x = -6 Add '18' to each side of the equation. -18 + 18 + 3x = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = -6 + 18 3x = -6 + 18 Combine like terms: -6 + 18 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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