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Simplifying -0.9x + 7.83 = -0.7x + 8.23 Reorder the terms: 7.83 + -0.9x = -0.7x + 8.23 Reorder the terms: 7.83 + -0.9x = 8.23 + -0.7x Solving 7.83 + -0.9x = 8.23 + -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. 7.83 + -0.9x + 0.7x = 8.23 + -0.7x + 0.7x Combine like terms: -0.9x + 0.7x = -0.2x 7.83 + -0.2x = 8.23 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 7.83 + -0.2x = 8.23 + 0.0 7.83 + -0.2x = 8.23 Add '-7.83' to each side of the equation. 7.83 + -7.83 + -0.2x = 8.23 + -7.83 Combine like terms: 7.83 + -7.83 = 0.00 0.00 + -0.2x = 8.23 + -7.83 -0.2x = 8.23 + -7.83 Combine like terms: 8.23 + -7.83 = 0.4 -0.2x = 0.4 Divide each side by '-0.2'. x = -2 Simplifying x = -2
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