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Simplifying 6x(x + 5) + -11 = 6x2 + 27x + 7 Reorder the terms: 6x(5 + x) + -11 = 6x2 + 27x + 7 (5 * 6x + x * 6x) + -11 = 6x2 + 27x + 7 (30x + 6x2) + -11 = 6x2 + 27x + 7 Reorder the terms: -11 + 30x + 6x2 = 6x2 + 27x + 7 Reorder the terms: -11 + 30x + 6x2 = 7 + 27x + 6x2 Add '-6x2' to each side of the equation. -11 + 30x + 6x2 + -6x2 = 7 + 27x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -11 + 30x + 0 = 7 + 27x + 6x2 + -6x2 -11 + 30x = 7 + 27x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -11 + 30x = 7 + 27x + 0 -11 + 30x = 7 + 27x Solving -11 + 30x = 7 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -11 + 30x + -27x = 7 + 27x + -27x Combine like terms: 30x + -27x = 3x -11 + 3x = 7 + 27x + -27x Combine like terms: 27x + -27x = 0 -11 + 3x = 7 + 0 -11 + 3x = 7 Add '11' to each side of the equation. -11 + 11 + 3x = 7 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 7 + 11 3x = 7 + 11 Combine like terms: 7 + 11 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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