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