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Simplifying -0.1x + 7.91 = 0.3x + 3.71 Reorder the terms: 7.91 + -0.1x = 0.3x + 3.71 Reorder the terms: 7.91 + -0.1x = 3.71 + 0.3x Solving 7.91 + -0.1x = 3.71 + 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. 7.91 + -0.1x + -0.3x = 3.71 + 0.3x + -0.3x Combine like terms: -0.1x + -0.3x = -0.4x 7.91 + -0.4x = 3.71 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 7.91 + -0.4x = 3.71 + 0.0 7.91 + -0.4x = 3.71 Add '-7.91' to each side of the equation. 7.91 + -7.91 + -0.4x = 3.71 + -7.91 Combine like terms: 7.91 + -7.91 = 0.00 0.00 + -0.4x = 3.71 + -7.91 -0.4x = 3.71 + -7.91 Combine like terms: 3.71 + -7.91 = -4.2 -0.4x = -4.2 Divide each side by '-0.4'. x = 10.5 Simplifying x = 10.5
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