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Simplifying x(x + -6) + 7 = x(x + 1) Reorder the terms: x(-6 + x) + 7 = x(x + 1) (-6 * x + x * x) + 7 = x(x + 1) (-6x + x2) + 7 = x(x + 1) Reorder the terms: 7 + -6x + x2 = x(x + 1) Reorder the terms: 7 + -6x + x2 = x(1 + x) 7 + -6x + x2 = (1 * x + x * x) 7 + -6x + x2 = (1x + x2) Add '-1x2' to each side of the equation. 7 + -6x + x2 + -1x2 = 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 + -6x + 0 = 1x + x2 + -1x2 7 + -6x = 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 + -6x = 1x + 0 7 + -6x = 1x Solving 7 + -6x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + -6x + -1x = 1x + -1x Combine like terms: -6x + -1x = -7x 7 + -7x = 1x + -1x Combine like terms: 1x + -1x = 0 7 + -7x = 0 Add '-7' to each side of the equation. 7 + -7 + -7x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = 0 + -7 -7x = 0 + -7 Combine like terms: 0 + -7 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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