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Simplifying 5(x + 4) + 3(x + -2) = 0 Reorder the terms: 5(4 + x) + 3(x + -2) = 0 (4 * 5 + x * 5) + 3(x + -2) = 0 (20 + 5x) + 3(x + -2) = 0 Reorder the terms: 20 + 5x + 3(-2 + x) = 0 20 + 5x + (-2 * 3 + x * 3) = 0 20 + 5x + (-6 + 3x) = 0 Reorder the terms: 20 + -6 + 5x + 3x = 0 Combine like terms: 20 + -6 = 14 14 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x 14 + 8x = 0 Solving 14 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 0 + -14 8x = 0 + -14 Combine like terms: 0 + -14 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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