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Simplifying 20 = 5(-1 + 3x) + -5(1 + -3x) 20 = (-1 * 5 + 3x * 5) + -5(1 + -3x) 20 = (-5 + 15x) + -5(1 + -3x) 20 = -5 + 15x + (1 * -5 + -3x * -5) 20 = -5 + 15x + (-5 + 15x) Reorder the terms: 20 = -5 + -5 + 15x + 15x Combine like terms: -5 + -5 = -10 20 = -10 + 15x + 15x Combine like terms: 15x + 15x = 30x 20 = -10 + 30x Solving 20 = -10 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 20 + -30x = -10 + 30x + -30x Combine like terms: 30x + -30x = 0 20 + -30x = -10 + 0 20 + -30x = -10 Add '-20' to each side of the equation. 20 + -20 + -30x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -30x = -10 + -20 -30x = -10 + -20 Combine like terms: -10 + -20 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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