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Simplifying 3(2x + -11) = 10 + -3x Reorder the terms: 3(-11 + 2x) = 10 + -3x (-11 * 3 + 2x * 3) = 10 + -3x (-33 + 6x) = 10 + -3x Solving -33 + 6x = 10 + -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. -33 + 6x + 3x = 10 + -3x + 3x Combine like terms: 6x + 3x = 9x -33 + 9x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -33 + 9x = 10 + 0 -33 + 9x = 10 Add '33' to each side of the equation. -33 + 33 + 9x = 10 + 33 Combine like terms: -33 + 33 = 0 0 + 9x = 10 + 33 9x = 10 + 33 Combine like terms: 10 + 33 = 43 9x = 43 Divide each side by '9'. x = 4.777777778 Simplifying x = 4.777777778
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