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Simplifying x(x + -7) + 13 = x(x + 6) Reorder the terms: x(-7 + x) + 13 = x(x + 6) (-7 * x + x * x) + 13 = x(x + 6) (-7x + x2) + 13 = x(x + 6) Reorder the terms: 13 + -7x + x2 = x(x + 6) Reorder the terms: 13 + -7x + x2 = x(6 + x) 13 + -7x + x2 = (6 * x + x * x) 13 + -7x + x2 = (6x + x2) Add '-1x2' to each side of the equation. 13 + -7x + x2 + -1x2 = 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 13 + -7x + 0 = 6x + x2 + -1x2 13 + -7x = 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 13 + -7x = 6x + 0 13 + -7x = 6x Solving 13 + -7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + -7x + -6x = 6x + -6x Combine like terms: -7x + -6x = -13x 13 + -13x = 6x + -6x Combine like terms: 6x + -6x = 0 13 + -13x = 0 Add '-13' to each side of the equation. 13 + -13 + -13x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -13x = 0 + -13 -13x = 0 + -13 Combine like terms: 0 + -13 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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