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Simplifying 3x(x + -5) + -11 = x(3x + 6) + 10 Reorder the terms: 3x(-5 + x) + -11 = x(3x + 6) + 10 (-5 * 3x + x * 3x) + -11 = x(3x + 6) + 10 (-15x + 3x2) + -11 = x(3x + 6) + 10 Reorder the terms: -11 + -15x + 3x2 = x(3x + 6) + 10 Reorder the terms: -11 + -15x + 3x2 = x(6 + 3x) + 10 -11 + -15x + 3x2 = (6 * x + 3x * x) + 10 -11 + -15x + 3x2 = (6x + 3x2) + 10 Reorder the terms: -11 + -15x + 3x2 = 10 + 6x + 3x2 Add '-3x2' to each side of the equation. -11 + -15x + 3x2 + -3x2 = 10 + 6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -11 + -15x + 0 = 10 + 6x + 3x2 + -3x2 -11 + -15x = 10 + 6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -11 + -15x = 10 + 6x + 0 -11 + -15x = 10 + 6x Solving -11 + -15x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -11 + -15x + -6x = 10 + 6x + -6x Combine like terms: -15x + -6x = -21x -11 + -21x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -21x = 10 + 0 -11 + -21x = 10 Add '11' to each side of the equation. -11 + 11 + -21x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + -21x = 10 + 11 -21x = 10 + 11 Combine like terms: 10 + 11 = 21 -21x = 21 Divide each side by '-21'. x = -1 Simplifying x = -1
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