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Simplifying 2(x + -4) + -2(2x + 5) + 6 = 0 Reorder the terms: 2(-4 + x) + -2(2x + 5) + 6 = 0 (-4 * 2 + x * 2) + -2(2x + 5) + 6 = 0 (-8 + 2x) + -2(2x + 5) + 6 = 0 Reorder the terms: -8 + 2x + -2(5 + 2x) + 6 = 0 -8 + 2x + (5 * -2 + 2x * -2) + 6 = 0 -8 + 2x + (-10 + -4x) + 6 = 0 Reorder the terms: -8 + -10 + 6 + 2x + -4x = 0 Combine like terms: -8 + -10 = -18 -18 + 6 + 2x + -4x = 0 Combine like terms: -18 + 6 = -12 -12 + 2x + -4x = 0 Combine like terms: 2x + -4x = -2x -12 + -2x = 0 Solving -12 + -2x = 0 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 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 0 + 12 -2x = 0 + 12 Combine like terms: 0 + 12 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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