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Simplifying 4(2x + -6) + -2(3x + 4) = -20 Reorder the terms: 4(-6 + 2x) + -2(3x + 4) = -20 (-6 * 4 + 2x * 4) + -2(3x + 4) = -20 (-24 + 8x) + -2(3x + 4) = -20 Reorder the terms: -24 + 8x + -2(4 + 3x) = -20 -24 + 8x + (4 * -2 + 3x * -2) = -20 -24 + 8x + (-8 + -6x) = -20 Reorder the terms: -24 + -8 + 8x + -6x = -20 Combine like terms: -24 + -8 = -32 -32 + 8x + -6x = -20 Combine like terms: 8x + -6x = 2x -32 + 2x = -20 Solving -32 + 2x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 2x = -20 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = -20 + 32 2x = -20 + 32 Combine like terms: -20 + 32 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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