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Simplifying 5(4x + 1) = 3x + -7x Reorder the terms: 5(1 + 4x) = 3x + -7x (1 * 5 + 4x * 5) = 3x + -7x (5 + 20x) = 3x + -7x Combine like terms: 3x + -7x = -4x 5 + 20x = -4x Solving 5 + 20x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 20x + 4x = -4x + 4x Combine like terms: 20x + 4x = 24x 5 + 24x = -4x + 4x Combine like terms: -4x + 4x = 0 5 + 24x = 0 Add '-5' to each side of the equation. 5 + -5 + 24x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 24x = 0 + -5 24x = 0 + -5 Combine like terms: 0 + -5 = -5 24x = -5 Divide each side by '24'. x = -0.2083333333 Simplifying x = -0.2083333333
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