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Simplifying 6(x + -2) = 44 + -2x Reorder the terms: 6(-2 + x) = 44 + -2x (-2 * 6 + x * 6) = 44 + -2x (-12 + 6x) = 44 + -2x Solving -12 + 6x = 44 + -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 = 44 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 44 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = 44 + 0 -12 + 8x = 44 Add '12' to each side of the equation. -12 + 12 + 8x = 44 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 44 + 12 8x = 44 + 12 Combine like terms: 44 + 12 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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