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Simplifying x(x + -6) + 15 = x(x + 9) Reorder the terms: x(-6 + x) + 15 = x(x + 9) (-6 * x + x * x) + 15 = x(x + 9) (-6x + x2) + 15 = x(x + 9) Reorder the terms: 15 + -6x + x2 = x(x + 9) Reorder the terms: 15 + -6x + x2 = x(9 + x) 15 + -6x + x2 = (9 * x + x * x) 15 + -6x + x2 = (9x + x2) Add '-1x2' to each side of the equation. 15 + -6x + x2 + -1x2 = 9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + -6x + 0 = 9x + x2 + -1x2 15 + -6x = 9x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + -6x = 9x + 0 15 + -6x = 9x Solving 15 + -6x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + -6x + -9x = 9x + -9x Combine like terms: -6x + -9x = -15x 15 + -15x = 9x + -9x Combine like terms: 9x + -9x = 0 15 + -15x = 0 Add '-15' to each side of the equation. 15 + -15 + -15x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = 0 + -15 -15x = 0 + -15 Combine like terms: 0 + -15 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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