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Simplifying 5(11x + -37) = -2(-3x + -1) + 9 Reorder the terms: 5(-37 + 11x) = -2(-3x + -1) + 9 (-37 * 5 + 11x * 5) = -2(-3x + -1) + 9 (-185 + 55x) = -2(-3x + -1) + 9 Reorder the terms: -185 + 55x = -2(-1 + -3x) + 9 -185 + 55x = (-1 * -2 + -3x * -2) + 9 -185 + 55x = (2 + 6x) + 9 Reorder the terms: -185 + 55x = 2 + 9 + 6x Combine like terms: 2 + 9 = 11 -185 + 55x = 11 + 6x Solving -185 + 55x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -185 + 55x + -6x = 11 + 6x + -6x Combine like terms: 55x + -6x = 49x -185 + 49x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -185 + 49x = 11 + 0 -185 + 49x = 11 Add '185' to each side of the equation. -185 + 185 + 49x = 11 + 185 Combine like terms: -185 + 185 = 0 0 + 49x = 11 + 185 49x = 11 + 185 Combine like terms: 11 + 185 = 196 49x = 196 Divide each side by '49'. x = 4 Simplifying x = 4
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