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Simplifying 3(4 + 5x) + -20 = 13x + -4 (4 * 3 + 5x * 3) + -20 = 13x + -4 (12 + 15x) + -20 = 13x + -4 Reorder the terms: 12 + -20 + 15x = 13x + -4 Combine like terms: 12 + -20 = -8 -8 + 15x = 13x + -4 Reorder the terms: -8 + 15x = -4 + 13x Solving -8 + 15x = -4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -8 + 15x + -13x = -4 + 13x + -13x Combine like terms: 15x + -13x = 2x -8 + 2x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 -8 + 2x = -4 + 0 -8 + 2x = -4 Add '8' to each side of the equation. -8 + 8 + 2x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -4 + 8 2x = -4 + 8 Combine like terms: -4 + 8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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