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Simplifying 6(2x + -11) + 15 = 3x + 15 Reorder the terms: 6(-11 + 2x) + 15 = 3x + 15 (-11 * 6 + 2x * 6) + 15 = 3x + 15 (-66 + 12x) + 15 = 3x + 15 Reorder the terms: -66 + 15 + 12x = 3x + 15 Combine like terms: -66 + 15 = -51 -51 + 12x = 3x + 15 Reorder the terms: -51 + 12x = 15 + 3x Solving -51 + 12x = 15 + 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. -51 + 12x + -3x = 15 + 3x + -3x Combine like terms: 12x + -3x = 9x -51 + 9x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -51 + 9x = 15 + 0 -51 + 9x = 15 Add '51' to each side of the equation. -51 + 51 + 9x = 15 + 51 Combine like terms: -51 + 51 = 0 0 + 9x = 15 + 51 9x = 15 + 51 Combine like terms: 15 + 51 = 66 9x = 66 Divide each side by '9'. x = 7.333333333 Simplifying x = 7.333333333
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