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Simplifying 5(2x + 1) + (4x + 2) = 0 Reorder the terms: 5(1 + 2x) + (4x + 2) = 0 (1 * 5 + 2x * 5) + (4x + 2) = 0 (5 + 10x) + (4x + 2) = 0 Reorder the terms: 5 + 10x + (2 + 4x) = 0 Remove parenthesis around (2 + 4x) 5 + 10x + 2 + 4x = 0 Reorder the terms: 5 + 2 + 10x + 4x = 0 Combine like terms: 5 + 2 = 7 7 + 10x + 4x = 0 Combine like terms: 10x + 4x = 14x 7 + 14x = 0 Solving 7 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 14x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 14x = 0 + -7 14x = 0 + -7 Combine like terms: 0 + -7 = -7 14x = -7 Divide each side by '14'. x = -0.5 Simplifying x = -0.5
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