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Simplifying 3(x + -2) = -6(x + 1) + 12 Reorder the terms: 3(-2 + x) = -6(x + 1) + 12 (-2 * 3 + x * 3) = -6(x + 1) + 12 (-6 + 3x) = -6(x + 1) + 12 Reorder the terms: -6 + 3x = -6(1 + x) + 12 -6 + 3x = (1 * -6 + x * -6) + 12 -6 + 3x = (-6 + -6x) + 12 Reorder the terms: -6 + 3x = -6 + 12 + -6x Combine like terms: -6 + 12 = 6 -6 + 3x = 6 + -6x Solving -6 + 3x = 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. -6 + 3x + 6x = 6 + -6x + 6x Combine like terms: 3x + 6x = 9x -6 + 9x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 9x = 6 + 0 -6 + 9x = 6 Add '6' to each side of the equation. -6 + 6 + 9x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 6 + 6 9x = 6 + 6 Combine like terms: 6 + 6 = 12 9x = 12 Divide each side by '9'. x = 1.333333333 Simplifying x = 1.333333333
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