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Simplifying 2(5x + 3) + 2(3x + 4) = 20x + 1 Reorder the terms: 2(3 + 5x) + 2(3x + 4) = 20x + 1 (3 * 2 + 5x * 2) + 2(3x + 4) = 20x + 1 (6 + 10x) + 2(3x + 4) = 20x + 1 Reorder the terms: 6 + 10x + 2(4 + 3x) = 20x + 1 6 + 10x + (4 * 2 + 3x * 2) = 20x + 1 6 + 10x + (8 + 6x) = 20x + 1 Reorder the terms: 6 + 8 + 10x + 6x = 20x + 1 Combine like terms: 6 + 8 = 14 14 + 10x + 6x = 20x + 1 Combine like terms: 10x + 6x = 16x 14 + 16x = 20x + 1 Reorder the terms: 14 + 16x = 1 + 20x Solving 14 + 16x = 1 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 14 + 16x + -20x = 1 + 20x + -20x Combine like terms: 16x + -20x = -4x 14 + -4x = 1 + 20x + -20x Combine like terms: 20x + -20x = 0 14 + -4x = 1 + 0 14 + -4x = 1 Add '-14' to each side of the equation. 14 + -14 + -4x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 1 + -14 -4x = 1 + -14 Combine like terms: 1 + -14 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25
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