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Simplifying 4(5x + 1) = 9 + -4(1 + -3x) Reorder the terms: 4(1 + 5x) = 9 + -4(1 + -3x) (1 * 4 + 5x * 4) = 9 + -4(1 + -3x) (4 + 20x) = 9 + -4(1 + -3x) 4 + 20x = 9 + (1 * -4 + -3x * -4) 4 + 20x = 9 + (-4 + 12x) Combine like terms: 9 + -4 = 5 4 + 20x = 5 + 12x Solving 4 + 20x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + 20x + -12x = 5 + 12x + -12x Combine like terms: 20x + -12x = 8x 4 + 8x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 8x = 5 + 0 4 + 8x = 5 Add '-4' to each side of the equation. 4 + -4 + 8x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 5 + -4 8x = 5 + -4 Combine like terms: 5 + -4 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125
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