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Simplifying 5x + 35 + 9x = 15(x + 4) + -25 Reorder the terms: 35 + 5x + 9x = 15(x + 4) + -25 Combine like terms: 5x + 9x = 14x 35 + 14x = 15(x + 4) + -25 Reorder the terms: 35 + 14x = 15(4 + x) + -25 35 + 14x = (4 * 15 + x * 15) + -25 35 + 14x = (60 + 15x) + -25 Reorder the terms: 35 + 14x = 60 + -25 + 15x Combine like terms: 60 + -25 = 35 35 + 14x = 35 + 15x Add '-35' to each side of the equation. 35 + -35 + 14x = 35 + -35 + 15x Combine like terms: 35 + -35 = 0 0 + 14x = 35 + -35 + 15x 14x = 35 + -35 + 15x Combine like terms: 35 + -35 = 0 14x = 0 + 15x 14x = 15x Solving 14x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 14x + -15x = 15x + -15x Combine like terms: 14x + -15x = -1x -1x = 15x + -15x Combine like terms: 15x + -15x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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