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Simplifying 6(x + -3) = 3(x + 2) Reorder the terms: 6(-3 + x) = 3(x + 2) (-3 * 6 + x * 6) = 3(x + 2) (-18 + 6x) = 3(x + 2) Reorder the terms: -18 + 6x = 3(2 + x) -18 + 6x = (2 * 3 + x * 3) -18 + 6x = (6 + 3x) Solving -18 + 6x = 6 + 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. -18 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x -18 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 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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