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Simplifying (x + 10)(x + 1) = (x)(x + 13) Reorder the terms: (10 + x)(x + 1) = (x)(x + 13) Reorder the terms: (10 + x)(1 + x) = (x)(x + 13) Multiply (10 + x) * (1 + x) (10(1 + x) + x(1 + x)) = (x)(x + 13) ((1 * 10 + x * 10) + x(1 + x)) = (x)(x + 13) ((10 + 10x) + x(1 + x)) = (x)(x + 13) (10 + 10x + (1 * x + x * x)) = (x)(x + 13) (10 + 10x + (1x + x2)) = (x)(x + 13) Combine like terms: 10x + 1x = 11x (10 + 11x + x2) = (x)(x + 13) Reorder the terms: 10 + 11x + x2 = x(13 + x) 10 + 11x + x2 = (13 * x + x * x) 10 + 11x + x2 = (13x + x2) Add '-1x2' to each side of the equation. 10 + 11x + x2 + -1x2 = 13x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + 11x + 0 = 13x + x2 + -1x2 10 + 11x = 13x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + 11x = 13x + 0 10 + 11x = 13x Solving 10 + 11x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 10 + 11x + -13x = 13x + -13x Combine like terms: 11x + -13x = -2x 10 + -2x = 13x + -13x Combine like terms: 13x + -13x = 0 10 + -2x = 0 Add '-10' to each side of the equation. 10 + -10 + -2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 0 + -10 -2x = 0 + -10 Combine like terms: 0 + -10 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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