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Simplifying 3(6x + -1) = 11x + -45 Reorder the terms: 3(-1 + 6x) = 11x + -45 (-1 * 3 + 6x * 3) = 11x + -45 (-3 + 18x) = 11x + -45 Reorder the terms: -3 + 18x = -45 + 11x Solving -3 + 18x = -45 + 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. -3 + 18x + -11x = -45 + 11x + -11x Combine like terms: 18x + -11x = 7x -3 + 7x = -45 + 11x + -11x Combine like terms: 11x + -11x = 0 -3 + 7x = -45 + 0 -3 + 7x = -45 Add '3' to each side of the equation. -3 + 3 + 7x = -45 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = -45 + 3 7x = -45 + 3 Combine like terms: -45 + 3 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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