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Simplifying 6(2 + -3x) = 11(3 + -1x) (2 * 6 + -3x * 6) = 11(3 + -1x) (12 + -18x) = 11(3 + -1x) 12 + -18x = (3 * 11 + -1x * 11) 12 + -18x = (33 + -11x) Solving 12 + -18x = 33 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 12 + -18x + 11x = 33 + -11x + 11x Combine like terms: -18x + 11x = -7x 12 + -7x = 33 + -11x + 11x Combine like terms: -11x + 11x = 0 12 + -7x = 33 + 0 12 + -7x = 33 Add '-12' to each side of the equation. 12 + -12 + -7x = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 33 + -12 -7x = 33 + -12 Combine like terms: 33 + -12 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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