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Simplifying -0.5x + 3.68 = -0.1x + 7.68 Reorder the terms: 3.68 + -0.5x = -0.1x + 7.68 Reorder the terms: 3.68 + -0.5x = 7.68 + -0.1x Solving 3.68 + -0.5x = 7.68 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 3.68 + -0.5x + 0.1x = 7.68 + -0.1x + 0.1x Combine like terms: -0.5x + 0.1x = -0.4x 3.68 + -0.4x = 7.68 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 3.68 + -0.4x = 7.68 + 0.0 3.68 + -0.4x = 7.68 Add '-3.68' to each side of the equation. 3.68 + -3.68 + -0.4x = 7.68 + -3.68 Combine like terms: 3.68 + -3.68 = 0.00 0.00 + -0.4x = 7.68 + -3.68 -0.4x = 7.68 + -3.68 Combine like terms: 7.68 + -3.68 = 4 -0.4x = 4 Divide each side by '-0.4'. x = -10 Simplifying x = -10
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