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Simplifying 6(x + -2) = 2x + 4 + -12 Reorder the terms: 6(-2 + x) = 2x + 4 + -12 (-2 * 6 + x * 6) = 2x + 4 + -12 (-12 + 6x) = 2x + 4 + -12 Reorder the terms: -12 + 6x = 4 + -12 + 2x Combine like terms: 4 + -12 = -8 -12 + 6x = -8 + 2x Solving -12 + 6x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 6x + -2x = -8 + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 4x = -8 + 0 -12 + 4x = -8 Add '12' to each side of the equation. -12 + 12 + 4x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -8 + 12 4x = -8 + 12 Combine like terms: -8 + 12 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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