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Simplifying x + 5(2x + 7) = 14x + 35 Reorder the terms: x + 5(7 + 2x) = 14x + 35 x + (7 * 5 + 2x * 5) = 14x + 35 x + (35 + 10x) = 14x + 35 Reorder the terms: 35 + x + 10x = 14x + 35 Combine like terms: x + 10x = 11x 35 + 11x = 14x + 35 Reorder the terms: 35 + 11x = 35 + 14x Add '-35' to each side of the equation. 35 + -35 + 11x = 35 + -35 + 14x Combine like terms: 35 + -35 = 0 0 + 11x = 35 + -35 + 14x 11x = 35 + -35 + 14x Combine like terms: 35 + -35 = 0 11x = 0 + 14x 11x = 14x Solving 11x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 11x + -14x = 14x + -14x Combine like terms: 11x + -14x = -3x -3x = 14x + -14x Combine like terms: 14x + -14x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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