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Simplifying 18(3x + 5) = 5(x + -1) + -6 Reorder the terms: 18(5 + 3x) = 5(x + -1) + -6 (5 * 18 + 3x * 18) = 5(x + -1) + -6 (90 + 54x) = 5(x + -1) + -6 Reorder the terms: 90 + 54x = 5(-1 + x) + -6 90 + 54x = (-1 * 5 + x * 5) + -6 90 + 54x = (-5 + 5x) + -6 Reorder the terms: 90 + 54x = -5 + -6 + 5x Combine like terms: -5 + -6 = -11 90 + 54x = -11 + 5x Solving 90 + 54x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 90 + 54x + -5x = -11 + 5x + -5x Combine like terms: 54x + -5x = 49x 90 + 49x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 90 + 49x = -11 + 0 90 + 49x = -11 Add '-90' to each side of the equation. 90 + -90 + 49x = -11 + -90 Combine like terms: 90 + -90 = 0 0 + 49x = -11 + -90 49x = -11 + -90 Combine like terms: -11 + -90 = -101 49x = -101 Divide each side by '49'. x = -2.06122449 Simplifying x = -2.06122449
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