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Simplifying 18.42x + -12.75 = (5.32x + -6.91) * 3.46 Reorder the terms: -12.75 + 18.42x = (5.32x + -6.91) * 3.46 Reorder the terms: -12.75 + 18.42x = (-6.91 + 5.32x) * 3.46 Reorder the terms for easier multiplication: -12.75 + 18.42x = 3.46(-6.91 + 5.32x) -12.75 + 18.42x = (-6.91 * 3.46 + 5.32x * 3.46) -12.75 + 18.42x = (-23.9086 + 18.4072x) Solving -12.75 + 18.42x = -23.9086 + 18.4072x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18.4072x' to each side of the equation. -12.75 + 18.42x + -18.4072x = -23.9086 + 18.4072x + -18.4072x Combine like terms: 18.42x + -18.4072x = 0.0128x -12.75 + 0.0128x = -23.9086 + 18.4072x + -18.4072x Combine like terms: 18.4072x + -18.4072x = 0.0000 -12.75 + 0.0128x = -23.9086 + 0.0000 -12.75 + 0.0128x = -23.9086 Add '12.75' to each side of the equation. -12.75 + 12.75 + 0.0128x = -23.9086 + 12.75 Combine like terms: -12.75 + 12.75 = 0.00 0.00 + 0.0128x = -23.9086 + 12.75 0.0128x = -23.9086 + 12.75 Combine like terms: -23.9086 + 12.75 = -11.1586 0.0128x = -11.1586 Divide each side by '0.0128'. x = -871.765625 Simplifying x = -871.765625
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