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Simplifying 5(4x + 1) = 2x + -4 Reorder the terms: 5(1 + 4x) = 2x + -4 (1 * 5 + 4x * 5) = 2x + -4 (5 + 20x) = 2x + -4 Reorder the terms: 5 + 20x = -4 + 2x Solving 5 + 20x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 20x + -2x = -4 + 2x + -2x Combine like terms: 20x + -2x = 18x 5 + 18x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 18x = -4 + 0 5 + 18x = -4 Add '-5' to each side of the equation. 5 + -5 + 18x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 18x = -4 + -5 18x = -4 + -5 Combine like terms: -4 + -5 = -9 18x = -9 Divide each side by '18'. x = -0.5 Simplifying x = -0.5
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