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Simplifying 3x(x + 1) + -5 = x(3x + 2) + 11 Reorder the terms: 3x(1 + x) + -5 = x(3x + 2) + 11 (1 * 3x + x * 3x) + -5 = x(3x + 2) + 11 (3x + 3x2) + -5 = x(3x + 2) + 11 Reorder the terms: -5 + 3x + 3x2 = x(3x + 2) + 11 Reorder the terms: -5 + 3x + 3x2 = x(2 + 3x) + 11 -5 + 3x + 3x2 = (2 * x + 3x * x) + 11 -5 + 3x + 3x2 = (2x + 3x2) + 11 Reorder the terms: -5 + 3x + 3x2 = 11 + 2x + 3x2 Add '-3x2' to each side of the equation. -5 + 3x + 3x2 + -3x2 = 11 + 2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -5 + 3x + 0 = 11 + 2x + 3x2 + -3x2 -5 + 3x = 11 + 2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -5 + 3x = 11 + 2x + 0 -5 + 3x = 11 + 2x Solving -5 + 3x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 3x + -2x = 11 + 2x + -2x Combine like terms: 3x + -2x = 1x -5 + 1x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 1x = 11 + 0 -5 + 1x = 11 Add '5' to each side of the equation. -5 + 5 + 1x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 11 + 5 1x = 11 + 5 Combine like terms: 11 + 5 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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