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Simplifying 6(3x + -11) + 5 = 9x + -10 Reorder the terms: 6(-11 + 3x) + 5 = 9x + -10 (-11 * 6 + 3x * 6) + 5 = 9x + -10 (-66 + 18x) + 5 = 9x + -10 Reorder the terms: -66 + 5 + 18x = 9x + -10 Combine like terms: -66 + 5 = -61 -61 + 18x = 9x + -10 Reorder the terms: -61 + 18x = -10 + 9x Solving -61 + 18x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -61 + 18x + -9x = -10 + 9x + -9x Combine like terms: 18x + -9x = 9x -61 + 9x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -61 + 9x = -10 + 0 -61 + 9x = -10 Add '61' to each side of the equation. -61 + 61 + 9x = -10 + 61 Combine like terms: -61 + 61 = 0 0 + 9x = -10 + 61 9x = -10 + 61 Combine like terms: -10 + 61 = 51 9x = 51 Divide each side by '9'. x = 5.666666667 Simplifying x = 5.666666667
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