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Simplifying -6 + -2(x + 3) = 2(-3x + 6) Reorder the terms: -6 + -2(3 + x) = 2(-3x + 6) -6 + (3 * -2 + x * -2) = 2(-3x + 6) -6 + (-6 + -2x) = 2(-3x + 6) Combine like terms: -6 + -6 = -12 -12 + -2x = 2(-3x + 6) Reorder the terms: -12 + -2x = 2(6 + -3x) -12 + -2x = (6 * 2 + -3x * 2) -12 + -2x = (12 + -6x) Solving -12 + -2x = 12 + -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. -12 + -2x + 6x = 12 + -6x + 6x Combine like terms: -2x + 6x = 4x -12 + 4x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 4x = 12 + 0 -12 + 4x = 12 Add '12' to each side of the equation. -12 + 12 + 4x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 12 + 12 4x = 12 + 12 Combine like terms: 12 + 12 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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