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Simplifying 9(x + -2) = 6(x + 1) Reorder the terms: 9(-2 + x) = 6(x + 1) (-2 * 9 + x * 9) = 6(x + 1) (-18 + 9x) = 6(x + 1) Reorder the terms: -18 + 9x = 6(1 + x) -18 + 9x = (1 * 6 + x * 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 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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