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Simplifying 0.16x + -0.58 = 1.46x + -0.76x + -3.523 Reorder the terms: -0.58 + 0.16x = 1.46x + -0.76x + -3.523 Reorder the terms: -0.58 + 0.16x = -3.523 + 1.46x + -0.76x Combine like terms: 1.46x + -0.76x = 0.7x -0.58 + 0.16x = -3.523 + 0.7x Solving -0.58 + 0.16x = -3.523 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -0.58 + 0.16x + -0.7x = -3.523 + 0.7x + -0.7x Combine like terms: 0.16x + -0.7x = -0.54x -0.58 + -0.54x = -3.523 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -0.58 + -0.54x = -3.523 + 0.0 -0.58 + -0.54x = -3.523 Add '0.58' to each side of the equation. -0.58 + 0.58 + -0.54x = -3.523 + 0.58 Combine like terms: -0.58 + 0.58 = 0.00 0.00 + -0.54x = -3.523 + 0.58 -0.54x = -3.523 + 0.58 Combine like terms: -3.523 + 0.58 = -2.943 -0.54x = -2.943 Divide each side by '-0.54'. x = 5.45 Simplifying x = 5.45
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