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Simplifying 0.83x + 0.29 = 0.5x + -0.7 Reorder the terms: 0.29 + 0.83x = 0.5x + -0.7 Reorder the terms: 0.29 + 0.83x = -0.7 + 0.5x Solving 0.29 + 0.83x = -0.7 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.29 + 0.83x + -0.5x = -0.7 + 0.5x + -0.5x Combine like terms: 0.83x + -0.5x = 0.33x 0.29 + 0.33x = -0.7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.29 + 0.33x = -0.7 + 0.0 0.29 + 0.33x = -0.7 Add '-0.29' to each side of the equation. 0.29 + -0.29 + 0.33x = -0.7 + -0.29 Combine like terms: 0.29 + -0.29 = 0.00 0.00 + 0.33x = -0.7 + -0.29 0.33x = -0.7 + -0.29 Combine like terms: -0.7 + -0.29 = -0.99 0.33x = -0.99 Divide each side by '0.33'. x = -3 Simplifying x = -3
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