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Simplifying 6x + -2(4x + -11) = 46 Reorder the terms: 6x + -2(-11 + 4x) = 46 6x + (-11 * -2 + 4x * -2) = 46 6x + (22 + -8x) = 46 Reorder the terms: 22 + 6x + -8x = 46 Combine like terms: 6x + -8x = -2x 22 + -2x = 46 Solving 22 + -2x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -2x = 46 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = 46 + -22 -2x = 46 + -22 Combine like terms: 46 + -22 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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