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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 = -15x 33 + -15x = -102 Solving 33 + -15x = -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 + -15x = -102 + -33 Combine like terms: 33 + -33 = 0 0 + -15x = -102 + -33 -15x = -102 + -33 Combine like terms: -102 + -33 = -135 -15x = -135 Divide each side by '-15'. x = 9 Simplifying x = 9
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