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Simplifying 0.43x + -7.8 = 2(3.5x + -7.3) Reorder the terms: -7.8 + 0.43x = 2(3.5x + -7.3) Reorder the terms: -7.8 + 0.43x = 2(-7.3 + 3.5x) -7.8 + 0.43x = (-7.3 * 2 + 3.5x * 2) -7.8 + 0.43x = (-14.6 + 7x) Solving -7.8 + 0.43x = -14.6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7.8 + 0.43x + -7x = -14.6 + 7x + -7x Combine like terms: 0.43x + -7x = -6.57x -7.8 + -6.57x = -14.6 + 7x + -7x Combine like terms: 7x + -7x = 0 -7.8 + -6.57x = -14.6 + 0 -7.8 + -6.57x = -14.6 Add '7.8' to each side of the equation. -7.8 + 7.8 + -6.57x = -14.6 + 7.8 Combine like terms: -7.8 + 7.8 = 0.0 0.0 + -6.57x = -14.6 + 7.8 -6.57x = -14.6 + 7.8 Combine like terms: -14.6 + 7.8 = -6.8 -6.57x = -6.8 Divide each side by '-6.57'. x = 1.03500761 Simplifying x = 1.03500761
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