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Simplifying -0.5x + 1.62 = -0.3x + 8.22 Reorder the terms: 1.62 + -0.5x = -0.3x + 8.22 Reorder the terms: 1.62 + -0.5x = 8.22 + -0.3x Solving 1.62 + -0.5x = 8.22 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 1.62 + -0.5x + 0.3x = 8.22 + -0.3x + 0.3x Combine like terms: -0.5x + 0.3x = -0.2x 1.62 + -0.2x = 8.22 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 1.62 + -0.2x = 8.22 + 0.0 1.62 + -0.2x = 8.22 Add '-1.62' to each side of the equation. 1.62 + -1.62 + -0.2x = 8.22 + -1.62 Combine like terms: 1.62 + -1.62 = 0.00 0.00 + -0.2x = 8.22 + -1.62 -0.2x = 8.22 + -1.62 Combine like terms: 8.22 + -1.62 = 6.6 -0.2x = 6.6 Divide each side by '-0.2'. x = -33 Simplifying x = -33
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