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Simplifying 4x + 13 = 3(5x + 20) + 8 Reorder the terms: 13 + 4x = 3(5x + 20) + 8 Reorder the terms: 13 + 4x = 3(20 + 5x) + 8 13 + 4x = (20 * 3 + 5x * 3) + 8 13 + 4x = (60 + 15x) + 8 Reorder the terms: 13 + 4x = 60 + 8 + 15x Combine like terms: 60 + 8 = 68 13 + 4x = 68 + 15x Solving 13 + 4x = 68 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 13 + 4x + -15x = 68 + 15x + -15x Combine like terms: 4x + -15x = -11x 13 + -11x = 68 + 15x + -15x Combine like terms: 15x + -15x = 0 13 + -11x = 68 + 0 13 + -11x = 68 Add '-13' to each side of the equation. 13 + -13 + -11x = 68 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = 68 + -13 -11x = 68 + -13 Combine like terms: 68 + -13 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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