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Simplifying 2x4 + 11x + -2x = 2(x4 + 7x) + 25 Reorder the terms: 11x + -2x + 2x4 = 2(x4 + 7x) + 25 Combine like terms: 11x + -2x = 9x 9x + 2x4 = 2(x4 + 7x) + 25 Reorder the terms: 9x + 2x4 = 2(7x + x4) + 25 9x + 2x4 = (7x * 2 + x4 * 2) + 25 9x + 2x4 = (14x + 2x4) + 25 Reorder the terms: 9x + 2x4 = 25 + 14x + 2x4 Add '-2x4' to each side of the equation. 9x + 2x4 + -2x4 = 25 + 14x + 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 9x + 0 = 25 + 14x + 2x4 + -2x4 9x = 25 + 14x + 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 9x = 25 + 14x + 0 9x = 25 + 14x Solving 9x = 25 + 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. 9x + -14x = 25 + 14x + -14x Combine like terms: 9x + -14x = -5x -5x = 25 + 14x + -14x Combine like terms: 14x + -14x = 0 -5x = 25 + 0 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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