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Simplifying 6x + -3(-7x + 11) = 102 Reorder the terms: 6x + -3(11 + -7x) = 102 6x + (11 * -3 + -7x * -3) = 102 6x + (-33 + 21x) = 102 Reorder the terms: -33 + 6x + 21x = 102 Combine like terms: 6x + 21x = 27x -33 + 27x = 102 Solving -33 + 27x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 27x = 102 + 33 Combine like terms: -33 + 33 = 0 0 + 27x = 102 + 33 27x = 102 + 33 Combine like terms: 102 + 33 = 135 27x = 135 Divide each side by '27'. x = 5 Simplifying x = 5
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