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Simplifying 3(x + -1) = 6(x + 2) + 6 Reorder the terms: 3(-1 + x) = 6(x + 2) + 6 (-1 * 3 + x * 3) = 6(x + 2) + 6 (-3 + 3x) = 6(x + 2) + 6 Reorder the terms: -3 + 3x = 6(2 + x) + 6 -3 + 3x = (2 * 6 + x * 6) + 6 -3 + 3x = (12 + 6x) + 6 Reorder the terms: -3 + 3x = 12 + 6 + 6x Combine like terms: 12 + 6 = 18 -3 + 3x = 18 + 6x Solving -3 + 3x = 18 + 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. -3 + 3x + -6x = 18 + 6x + -6x Combine like terms: 3x + -6x = -3x -3 + -3x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -3x = 18 + 0 -3 + -3x = 18 Add '3' to each side of the equation. -3 + 3 + -3x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = 18 + 3 -3x = 18 + 3 Combine like terms: 18 + 3 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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