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Simplifying x2 + 5(x + 2) = x(x + 3) + -2 Reorder the terms: x2 + 5(2 + x) = x(x + 3) + -2 x2 + (2 * 5 + x * 5) = x(x + 3) + -2 x2 + (10 + 5x) = x(x + 3) + -2 Reorder the terms: 10 + 5x + x2 = x(x + 3) + -2 Reorder the terms: 10 + 5x + x2 = x(3 + x) + -2 10 + 5x + x2 = (3 * x + x * x) + -2 10 + 5x + x2 = (3x + x2) + -2 Reorder the terms: 10 + 5x + x2 = -2 + 3x + x2 Add '-1x2' to each side of the equation. 10 + 5x + x2 + -1x2 = -2 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + 5x + 0 = -2 + 3x + x2 + -1x2 10 + 5x = -2 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + 5x = -2 + 3x + 0 10 + 5x = -2 + 3x Solving 10 + 5x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 5x + -3x = -2 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = -2 + 0 10 + 2x = -2 Add '-10' to each side of the equation. 10 + -10 + 2x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -2 + -10 2x = -2 + -10 Combine like terms: -2 + -10 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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