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Simplifying 1.26x + 3.58 = 1.74x + 6.46 Reorder the terms: 3.58 + 1.26x = 1.74x + 6.46 Reorder the terms: 3.58 + 1.26x = 6.46 + 1.74x Solving 3.58 + 1.26x = 6.46 + 1.74x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.74x' to each side of the equation. 3.58 + 1.26x + -1.74x = 6.46 + 1.74x + -1.74x Combine like terms: 1.26x + -1.74x = -0.48x 3.58 + -0.48x = 6.46 + 1.74x + -1.74x Combine like terms: 1.74x + -1.74x = 0.00 3.58 + -0.48x = 6.46 + 0.00 3.58 + -0.48x = 6.46 Add '-3.58' to each side of the equation. 3.58 + -3.58 + -0.48x = 6.46 + -3.58 Combine like terms: 3.58 + -3.58 = 0.00 0.00 + -0.48x = 6.46 + -3.58 -0.48x = 6.46 + -3.58 Combine like terms: 6.46 + -3.58 = 2.88 -0.48x = 2.88 Divide each side by '-0.48'. x = -6 Simplifying x = -6
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