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Simplifying 2(-4x + -6) + 2(x + 1) = 2 Reorder the terms: 2(-6 + -4x) + 2(x + 1) = 2 (-6 * 2 + -4x * 2) + 2(x + 1) = 2 (-12 + -8x) + 2(x + 1) = 2 Reorder the terms: -12 + -8x + 2(1 + x) = 2 -12 + -8x + (1 * 2 + x * 2) = 2 -12 + -8x + (2 + 2x) = 2 Reorder the terms: -12 + 2 + -8x + 2x = 2 Combine like terms: -12 + 2 = -10 -10 + -8x + 2x = 2 Combine like terms: -8x + 2x = -6x -10 + -6x = 2 Solving -10 + -6x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -6x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 2 + 10 -6x = 2 + 10 Combine like terms: 2 + 10 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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