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Simplifying -4(2x + 6) + 2(3x + -2) = 0 Reorder the terms: -4(6 + 2x) + 2(3x + -2) = 0 (6 * -4 + 2x * -4) + 2(3x + -2) = 0 (-24 + -8x) + 2(3x + -2) = 0 Reorder the terms: -24 + -8x + 2(-2 + 3x) = 0 -24 + -8x + (-2 * 2 + 3x * 2) = 0 -24 + -8x + (-4 + 6x) = 0 Reorder the terms: -24 + -4 + -8x + 6x = 0 Combine like terms: -24 + -4 = -28 -28 + -8x + 6x = 0 Combine like terms: -8x + 6x = -2x -28 + -2x = 0 Solving -28 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -2x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = 0 + 28 -2x = 0 + 28 Combine like terms: 0 + 28 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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