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Simplifying 2(3x + -1) + -2(4x + 5) = 8 Reorder the terms: 2(-1 + 3x) + -2(4x + 5) = 8 (-1 * 2 + 3x * 2) + -2(4x + 5) = 8 (-2 + 6x) + -2(4x + 5) = 8 Reorder the terms: -2 + 6x + -2(5 + 4x) = 8 -2 + 6x + (5 * -2 + 4x * -2) = 8 -2 + 6x + (-10 + -8x) = 8 Reorder the terms: -2 + -10 + 6x + -8x = 8 Combine like terms: -2 + -10 = -12 -12 + 6x + -8x = 8 Combine like terms: 6x + -8x = -2x -12 + -2x = 8 Solving -12 + -2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -2x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 8 + 12 -2x = 8 + 12 Combine like terms: 8 + 12 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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