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Simplifying 4(x + 7) + 2(x + -5) = 0 Reorder the terms: 4(7 + x) + 2(x + -5) = 0 (7 * 4 + x * 4) + 2(x + -5) = 0 (28 + 4x) + 2(x + -5) = 0 Reorder the terms: 28 + 4x + 2(-5 + x) = 0 28 + 4x + (-5 * 2 + x * 2) = 0 28 + 4x + (-10 + 2x) = 0 Reorder the terms: 28 + -10 + 4x + 2x = 0 Combine like terms: 28 + -10 = 18 18 + 4x + 2x = 0 Combine like terms: 4x + 2x = 6x 18 + 6x = 0 Solving 18 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 0 + -18 6x = 0 + -18 Combine like terms: 0 + -18 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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