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Simplifying 6(x + 4) + -1(2x + -4) = 0 Reorder the terms: 6(4 + x) + -1(2x + -4) = 0 (4 * 6 + x * 6) + -1(2x + -4) = 0 (24 + 6x) + -1(2x + -4) = 0 Reorder the terms: 24 + 6x + -1(-4 + 2x) = 0 24 + 6x + (-4 * -1 + 2x * -1) = 0 24 + 6x + (4 + -2x) = 0 Reorder the terms: 24 + 4 + 6x + -2x = 0 Combine like terms: 24 + 4 = 28 28 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 28 + 4x = 0 Solving 28 + 4x = 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 + 4x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4x = 0 + -28 4x = 0 + -28 Combine like terms: 0 + -28 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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