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Simplifying -8(-13x + 24) = -37(-30 + -5x) Reorder the terms: -8(24 + -13x) = -37(-30 + -5x) (24 * -8 + -13x * -8) = -37(-30 + -5x) (-192 + 104x) = -37(-30 + -5x) -192 + 104x = (-30 * -37 + -5x * -37) -192 + 104x = (1110 + 185x) Solving -192 + 104x = 1110 + 185x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-185x' to each side of the equation. -192 + 104x + -185x = 1110 + 185x + -185x Combine like terms: 104x + -185x = -81x -192 + -81x = 1110 + 185x + -185x Combine like terms: 185x + -185x = 0 -192 + -81x = 1110 + 0 -192 + -81x = 1110 Add '192' to each side of the equation. -192 + 192 + -81x = 1110 + 192 Combine like terms: -192 + 192 = 0 0 + -81x = 1110 + 192 -81x = 1110 + 192 Combine like terms: 1110 + 192 = 1302 -81x = 1302 Divide each side by '-81'. x = -16.07407407 Simplifying x = -16.07407407
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