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Simplifying 6(x + -2) = 10 + 2x + 2 Reorder the terms: 6(-2 + x) = 10 + 2x + 2 (-2 * 6 + x * 6) = 10 + 2x + 2 (-12 + 6x) = 10 + 2x + 2 Reorder the terms: -12 + 6x = 10 + 2 + 2x Combine like terms: 10 + 2 = 12 -12 + 6x = 12 + 2x Solving -12 + 6x = 12 + 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 = 12 + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = 12 + 2x + -2x Combine like terms: 2x + -2x = 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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