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Simplifying 2(3x + 7) = 4(5x + -1) + 18 Reorder the terms: 2(7 + 3x) = 4(5x + -1) + 18 (7 * 2 + 3x * 2) = 4(5x + -1) + 18 (14 + 6x) = 4(5x + -1) + 18 Reorder the terms: 14 + 6x = 4(-1 + 5x) + 18 14 + 6x = (-1 * 4 + 5x * 4) + 18 14 + 6x = (-4 + 20x) + 18 Reorder the terms: 14 + 6x = -4 + 18 + 20x Combine like terms: -4 + 18 = 14 14 + 6x = 14 + 20x Add '-14' to each side of the equation. 14 + -14 + 6x = 14 + -14 + 20x Combine like terms: 14 + -14 = 0 0 + 6x = 14 + -14 + 20x 6x = 14 + -14 + 20x Combine like terms: 14 + -14 = 0 6x = 0 + 20x 6x = 20x Solving 6x = 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. 6x + -20x = 20x + -20x Combine like terms: 6x + -20x = -14x -14x = 20x + -20x Combine like terms: 20x + -20x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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