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