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Simplifying 20 + 5(3x + 1) = 8 + -3(4x + -2) Reorder the terms: 20 + 5(1 + 3x) = 8 + -3(4x + -2) 20 + (1 * 5 + 3x * 5) = 8 + -3(4x + -2) 20 + (5 + 15x) = 8 + -3(4x + -2) Combine like terms: 20 + 5 = 25 25 + 15x = 8 + -3(4x + -2) Reorder the terms: 25 + 15x = 8 + -3(-2 + 4x) 25 + 15x = 8 + (-2 * -3 + 4x * -3) 25 + 15x = 8 + (6 + -12x) Combine like terms: 8 + 6 = 14 25 + 15x = 14 + -12x Solving 25 + 15x = 14 + -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. 25 + 15x + 12x = 14 + -12x + 12x Combine like terms: 15x + 12x = 27x 25 + 27x = 14 + -12x + 12x Combine like terms: -12x + 12x = 0 25 + 27x = 14 + 0 25 + 27x = 14 Add '-25' to each side of the equation. 25 + -25 + 27x = 14 + -25 Combine like terms: 25 + -25 = 0 0 + 27x = 14 + -25 27x = 14 + -25 Combine like terms: 14 + -25 = -11 27x = -11 Divide each side by '27'. x = -0.4074074074 Simplifying x = -0.4074074074
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