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Simplifying 6(22 + -12x) + 11(11 + 3x) = 310 (22 * 6 + -12x * 6) + 11(11 + 3x) = 310 (132 + -72x) + 11(11 + 3x) = 310 132 + -72x + (11 * 11 + 3x * 11) = 310 132 + -72x + (121 + 33x) = 310 Reorder the terms: 132 + 121 + -72x + 33x = 310 Combine like terms: 132 + 121 = 253 253 + -72x + 33x = 310 Combine like terms: -72x + 33x = -39x 253 + -39x = 310 Solving 253 + -39x = 310 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-253' to each side of the equation. 253 + -253 + -39x = 310 + -253 Combine like terms: 253 + -253 = 0 0 + -39x = 310 + -253 -39x = 310 + -253 Combine like terms: 310 + -253 = 57 -39x = 57 Divide each side by '-39'. x = -1.461538462 Simplifying x = -1.461538462
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