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Simplifying 3.7(-83x) = 3.7(7x + -30) Remove parenthesis around (-83x) 3.7 * -83x = 3.7(7x + -30) Multiply 3.7 * -83 -307.1x = 3.7(7x + -30) Reorder the terms: -307.1x = 3.7(-30 + 7x) -307.1x = (-30 * 3.7 + 7x * 3.7) -307.1x = (-111 + 25.9x) Solving -307.1x = -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. -307.1x + -25.9x = -111 + 25.9x + -25.9x Combine like terms: -307.1x + -25.9x = -333x -333x = -111 + 25.9x + -25.9x Combine like terms: 25.9x + -25.9x = 0.0 -333x = -111 + 0.0 -333x = -111 Divide each side by '-333'. x = 0.3333333333 Simplifying x = 0.3333333333
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