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Simplifying 5 + -4(3x + 1) = 1 + 4(2x + 20) Reorder the terms: 5 + -4(1 + 3x) = 1 + 4(2x + 20) 5 + (1 * -4 + 3x * -4) = 1 + 4(2x + 20) 5 + (-4 + -12x) = 1 + 4(2x + 20) Combine like terms: 5 + -4 = 1 1 + -12x = 1 + 4(2x + 20) Reorder the terms: 1 + -12x = 1 + 4(20 + 2x) 1 + -12x = 1 + (20 * 4 + 2x * 4) 1 + -12x = 1 + (80 + 8x) Combine like terms: 1 + 80 = 81 1 + -12x = 81 + 8x Solving 1 + -12x = 81 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + -12x + -8x = 81 + 8x + -8x Combine like terms: -12x + -8x = -20x 1 + -20x = 81 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -20x = 81 + 0 1 + -20x = 81 Add '-1' to each side of the equation. 1 + -1 + -20x = 81 + -1 Combine like terms: 1 + -1 = 0 0 + -20x = 81 + -1 -20x = 81 + -1 Combine like terms: 81 + -1 = 80 -20x = 80 Divide each side by '-20'. x = -4 Simplifying x = -4
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