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Simplifying 6(6x + -2) = 3(9x + 11) Reorder the terms: 6(-2 + 6x) = 3(9x + 11) (-2 * 6 + 6x * 6) = 3(9x + 11) (-12 + 36x) = 3(9x + 11) Reorder the terms: -12 + 36x = 3(11 + 9x) -12 + 36x = (11 * 3 + 9x * 3) -12 + 36x = (33 + 27x) Solving -12 + 36x = 33 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -12 + 36x + -27x = 33 + 27x + -27x Combine like terms: 36x + -27x = 9x -12 + 9x = 33 + 27x + -27x Combine like terms: 27x + -27x = 0 -12 + 9x = 33 + 0 -12 + 9x = 33 Add '12' to each side of the equation. -12 + 12 + 9x = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 33 + 12 9x = 33 + 12 Combine like terms: 33 + 12 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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