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Simplifying x2 + x + 10x + 10 = x2 + 13x Reorder the terms: 10 + x + 10x + x2 = x2 + 13x Combine like terms: x + 10x = 11x 10 + 11x + x2 = x2 + 13x Reorder the terms: 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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