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Simplifying 0.46 + -0.18x = 0.43x + -2.59 Reorder the terms: 0.46 + -0.18x = -2.59 + 0.43x Solving 0.46 + -0.18x = -2.59 + 0.43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.43x' to each side of the equation. 0.46 + -0.18x + -0.43x = -2.59 + 0.43x + -0.43x Combine like terms: -0.18x + -0.43x = -0.61x 0.46 + -0.61x = -2.59 + 0.43x + -0.43x Combine like terms: 0.43x + -0.43x = 0.00 0.46 + -0.61x = -2.59 + 0.00 0.46 + -0.61x = -2.59 Add '-0.46' to each side of the equation. 0.46 + -0.46 + -0.61x = -2.59 + -0.46 Combine like terms: 0.46 + -0.46 = 0.00 0.00 + -0.61x = -2.59 + -0.46 -0.61x = -2.59 + -0.46 Combine like terms: -2.59 + -0.46 = -3.05 -0.61x = -3.05 Divide each side by '-0.61'. x = 5 Simplifying x = 5
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