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Simplifying 0.18x + -0.57 = 1.46x + -0.72x + -3.529 Reorder the terms: -0.57 + 0.18x = 1.46x + -0.72x + -3.529 Reorder the terms: -0.57 + 0.18x = -3.529 + 1.46x + -0.72x Combine like terms: 1.46x + -0.72x = 0.74x -0.57 + 0.18x = -3.529 + 0.74x Solving -0.57 + 0.18x = -3.529 + 0.74x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.74x' to each side of the equation. -0.57 + 0.18x + -0.74x = -3.529 + 0.74x + -0.74x Combine like terms: 0.18x + -0.74x = -0.56x -0.57 + -0.56x = -3.529 + 0.74x + -0.74x Combine like terms: 0.74x + -0.74x = 0.00 -0.57 + -0.56x = -3.529 + 0.00 -0.57 + -0.56x = -3.529 Add '0.57' to each side of the equation. -0.57 + 0.57 + -0.56x = -3.529 + 0.57 Combine like terms: -0.57 + 0.57 = 0.00 0.00 + -0.56x = -3.529 + 0.57 -0.56x = -3.529 + 0.57 Combine like terms: -3.529 + 0.57 = -2.959 -0.56x = -2.959 Divide each side by '-0.56'. x = 5.283928571 Simplifying x = 5.283928571
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