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Simplifying 3.79(-83x + -3) = 3.7(7x + -30) Reorder the terms: 3.79(-3 + -83x) = 3.7(7x + -30) (-3 * 3.79 + -83x * 3.79) = 3.7(7x + -30) (-11.37 + -314.57x) = 3.7(7x + -30) Reorder the terms: -11.37 + -314.57x = 3.7(-30 + 7x) -11.37 + -314.57x = (-30 * 3.7 + 7x * 3.7) -11.37 + -314.57x = (-111 + 25.9x) Solving -11.37 + -314.57x = -111 + 25.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25.9x' to each side of the equation. -11.37 + -314.57x + -25.9x = -111 + 25.9x + -25.9x Combine like terms: -314.57x + -25.9x = -340.47x -11.37 + -340.47x = -111 + 25.9x + -25.9x Combine like terms: 25.9x + -25.9x = 0.0 -11.37 + -340.47x = -111 + 0.0 -11.37 + -340.47x = -111 Add '11.37' to each side of the equation. -11.37 + 11.37 + -340.47x = -111 + 11.37 Combine like terms: -11.37 + 11.37 = 0.00 0.00 + -340.47x = -111 + 11.37 -340.47x = -111 + 11.37 Combine like terms: -111 + 11.37 = -99.63 -340.47x = -99.63 Divide each side by '-340.47'. x = 0.2926249009 Simplifying x = 0.2926249009
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