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