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Simplifying 0.1x + 2.11 = -0.3x + 6.71 Reorder the terms: 2.11 + 0.1x = -0.3x + 6.71 Reorder the terms: 2.11 + 0.1x = 6.71 + -0.3x Solving 2.11 + 0.1x = 6.71 + -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. 2.11 + 0.1x + 0.3x = 6.71 + -0.3x + 0.3x Combine like terms: 0.1x + 0.3x = 0.4x 2.11 + 0.4x = 6.71 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 2.11 + 0.4x = 6.71 + 0.0 2.11 + 0.4x = 6.71 Add '-2.11' to each side of the equation. 2.11 + -2.11 + 0.4x = 6.71 + -2.11 Combine like terms: 2.11 + -2.11 = 0.00 0.00 + 0.4x = 6.71 + -2.11 0.4x = 6.71 + -2.11 Combine like terms: 6.71 + -2.11 = 4.6 0.4x = 4.6 Divide each side by '0.4'. x = 11.5 Simplifying x = 11.5
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