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Simplifying 3.7(-8.3x + -3) = 3.7(7x + -30) Reorder the terms: 3.7(-3 + -8.3x) = 3.7(7x + -30) (-3 * 3.7 + -8.3x * 3.7) = 3.7(7x + -30) (-11.1 + -30.71x) = 3.7(7x + -30) Reorder the terms: -11.1 + -30.71x = 3.7(-30 + 7x) -11.1 + -30.71x = (-30 * 3.7 + 7x * 3.7) -11.1 + -30.71x = (-111 + 25.9x) Solving -11.1 + -30.71x = -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. -11.1 + -30.71x + -25.9x = -111 + 25.9x + -25.9x Combine like terms: -30.71x + -25.9x = -56.61x -11.1 + -56.61x = -111 + 25.9x + -25.9x Combine like terms: 25.9x + -25.9x = 0.0 -11.1 + -56.61x = -111 + 0.0 -11.1 + -56.61x = -111 Add '11.1' to each side of the equation. -11.1 + 11.1 + -56.61x = -111 + 11.1 Combine like terms: -11.1 + 11.1 = 0.0 0.0 + -56.61x = -111 + 11.1 -56.61x = -111 + 11.1 Combine like terms: -111 + 11.1 = -99.9 -56.61x = -99.9 Divide each side by '-56.61'. x = 1.764705882 Simplifying x = 1.764705882
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