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Simplifying 3x + 4(2x + 5) = 3x + 2(5x + 8) Reorder the terms: 3x + 4(5 + 2x) = 3x + 2(5x + 8) 3x + (5 * 4 + 2x * 4) = 3x + 2(5x + 8) 3x + (20 + 8x) = 3x + 2(5x + 8) Reorder the terms: 20 + 3x + 8x = 3x + 2(5x + 8) Combine like terms: 3x + 8x = 11x 20 + 11x = 3x + 2(5x + 8) Reorder the terms: 20 + 11x = 3x + 2(8 + 5x) 20 + 11x = 3x + (8 * 2 + 5x * 2) 20 + 11x = 3x + (16 + 10x) Reorder the terms: 20 + 11x = 16 + 3x + 10x Combine like terms: 3x + 10x = 13x 20 + 11x = 16 + 13x Solving 20 + 11x = 16 + 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. 20 + 11x + -13x = 16 + 13x + -13x Combine like terms: 11x + -13x = -2x 20 + -2x = 16 + 13x + -13x Combine like terms: 13x + -13x = 0 20 + -2x = 16 + 0 20 + -2x = 16 Add '-20' to each side of the equation. 20 + -20 + -2x = 16 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 16 + -20 -2x = 16 + -20 Combine like terms: 16 + -20 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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