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Simplifying 19(15x + 18) = -38(x + -5) Reorder the terms: 19(18 + 15x) = -38(x + -5) (18 * 19 + 15x * 19) = -38(x + -5) (342 + 285x) = -38(x + -5) Reorder the terms: 342 + 285x = -38(-5 + x) 342 + 285x = (-5 * -38 + x * -38) 342 + 285x = (190 + -38x) Solving 342 + 285x = 190 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. 342 + 285x + 38x = 190 + -38x + 38x Combine like terms: 285x + 38x = 323x 342 + 323x = 190 + -38x + 38x Combine like terms: -38x + 38x = 0 342 + 323x = 190 + 0 342 + 323x = 190 Add '-342' to each side of the equation. 342 + -342 + 323x = 190 + -342 Combine like terms: 342 + -342 = 0 0 + 323x = 190 + -342 323x = 190 + -342 Combine like terms: 190 + -342 = -152 323x = -152 Divide each side by '323'. x = -0.4705882353 Simplifying x = -0.4705882353
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