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Simplifying -0.1x + 3.13 = -0.5x + 0.33 Reorder the terms: 3.13 + -0.1x = -0.5x + 0.33 Reorder the terms: 3.13 + -0.1x = 0.33 + -0.5x Solving 3.13 + -0.1x = 0.33 + -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. 3.13 + -0.1x + 0.5x = 0.33 + -0.5x + 0.5x Combine like terms: -0.1x + 0.5x = 0.4x 3.13 + 0.4x = 0.33 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 3.13 + 0.4x = 0.33 + 0.0 3.13 + 0.4x = 0.33 Add '-3.13' to each side of the equation. 3.13 + -3.13 + 0.4x = 0.33 + -3.13 Combine like terms: 3.13 + -3.13 = 0.00 0.00 + 0.4x = 0.33 + -3.13 0.4x = 0.33 + -3.13 Combine like terms: 0.33 + -3.13 = -2.8 0.4x = -2.8 Divide each side by '0.4'. x = -7 Simplifying x = -7
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