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Simplifying 2x4 + 11x + -2 = 2(x4 + 7x) + 25 Reorder the terms: -2 + 11x + 2x4 = 2(x4 + 7x) + 25 Reorder the terms: -2 + 11x + 2x4 = 2(7x + x4) + 25 -2 + 11x + 2x4 = (7x * 2 + x4 * 2) + 25 -2 + 11x + 2x4 = (14x + 2x4) + 25 Reorder the terms: -2 + 11x + 2x4 = 25 + 14x + 2x4 Add '-2x4' to each side of the equation. -2 + 11x + 2x4 + -2x4 = 25 + 14x + 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 -2 + 11x + 0 = 25 + 14x + 2x4 + -2x4 -2 + 11x = 25 + 14x + 2x4 + -2x4 Combine like terms: 2x4 + -2x4 = 0 -2 + 11x = 25 + 14x + 0 -2 + 11x = 25 + 14x Solving -2 + 11x = 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. -2 + 11x + -14x = 25 + 14x + -14x Combine like terms: 11x + -14x = -3x -2 + -3x = 25 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -3x = 25 + 0 -2 + -3x = 25 Add '2' to each side of the equation. -2 + 2 + -3x = 25 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 25 + 2 -3x = 25 + 2 Combine like terms: 25 + 2 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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