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Simplifying 4(x + 5) = 1 + -3x Reorder the terms: 4(5 + x) = 1 + -3x (5 * 4 + x * 4) = 1 + -3x (20 + 4x) = 1 + -3x Solving 20 + 4x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 20 + 4x + 3x = 1 + -3x + 3x Combine like terms: 4x + 3x = 7x 20 + 7x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 20 + 7x = 1 + 0 20 + 7x = 1 Add '-20' to each side of the equation. 20 + -20 + 7x = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 1 + -20 7x = 1 + -20 Combine like terms: 1 + -20 = -19 7x = -19 Divide each side by '7'. x = -2.714285714 Simplifying x = -2.714285714
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