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Simplifying 7(x + 4) + -1(2x + -4) = 0 Reorder the terms: 7(4 + x) + -1(2x + -4) = 0 (4 * 7 + x * 7) + -1(2x + -4) = 0 (28 + 7x) + -1(2x + -4) = 0 Reorder the terms: 28 + 7x + -1(-4 + 2x) = 0 28 + 7x + (-4 * -1 + 2x * -1) = 0 28 + 7x + (4 + -2x) = 0 Reorder the terms: 28 + 4 + 7x + -2x = 0 Combine like terms: 28 + 4 = 32 32 + 7x + -2x = 0 Combine like terms: 7x + -2x = 5x 32 + 5x = 0 Solving 32 + 5x = 0 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 + 5x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 5x = 0 + -32 5x = 0 + -32 Combine like terms: 0 + -32 = -32 5x = -32 Divide each side by '5'. x = -6.4 Simplifying x = -6.4
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