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Simplifying x(x + -8) + 15 = x(x + 7) Reorder the terms: x(-8 + x) + 15 = x(x + 7) (-8 * x + x * x) + 15 = x(x + 7) (-8x + x2) + 15 = x(x + 7) Reorder the terms: 15 + -8x + x2 = x(x + 7) Reorder the terms: 15 + -8x + x2 = x(7 + x) 15 + -8x + x2 = (7 * x + x * x) 15 + -8x + x2 = (7x + x2) Add '-1x2' to each side of the equation. 15 + -8x + x2 + -1x2 = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + -8x + 0 = 7x + x2 + -1x2 15 + -8x = 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + -8x = 7x + 0 15 + -8x = 7x Solving 15 + -8x = 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. 15 + -8x + -7x = 7x + -7x Combine like terms: -8x + -7x = -15x 15 + -15x = 7x + -7x Combine like terms: 7x + -7x = 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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