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Simplifying 0.16x + -0.58 = 1.48x + -0.74x + -3.522 Reorder the terms: -0.58 + 0.16x = 1.48x + -0.74x + -3.522 Reorder the terms: -0.58 + 0.16x = -3.522 + 1.48x + -0.74x Combine like terms: 1.48x + -0.74x = 0.74x -0.58 + 0.16x = -3.522 + 0.74x Solving -0.58 + 0.16x = -3.522 + 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. -0.58 + 0.16x + -0.74x = -3.522 + 0.74x + -0.74x Combine like terms: 0.16x + -0.74x = -0.58x -0.58 + -0.58x = -3.522 + 0.74x + -0.74x Combine like terms: 0.74x + -0.74x = 0.00 -0.58 + -0.58x = -3.522 + 0.00 -0.58 + -0.58x = -3.522 Add '0.58' to each side of the equation. -0.58 + 0.58 + -0.58x = -3.522 + 0.58 Combine like terms: -0.58 + 0.58 = 0.00 0.00 + -0.58x = -3.522 + 0.58 -0.58x = -3.522 + 0.58 Combine like terms: -3.522 + 0.58 = -2.942 -0.58x = -2.942 Divide each side by '-0.58'. x = 5.072413793 Simplifying x = 5.072413793
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