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Simplifying 0.1x2 + -4x + 55 = 0.1x2 + x + 5 Reorder the terms: 55 + -4x + 0.1x2 = 0.1x2 + x + 5 Reorder the terms: 55 + -4x + 0.1x2 = 5 + x + 0.1x2 Add '-0.1x2' to each side of the equation. 55 + -4x + 0.1x2 + -0.1x2 = 5 + x + 0.1x2 + -0.1x2 Combine like terms: 0.1x2 + -0.1x2 = 0.0 55 + -4x + 0.0 = 5 + x + 0.1x2 + -0.1x2 55 + -4x = 5 + x + 0.1x2 + -0.1x2 Combine like terms: 0.1x2 + -0.1x2 = 0.0 55 + -4x = 5 + x + 0.0 55 + -4x = 5 + x Solving 55 + -4x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 55 + -4x + -1x = 5 + x + -1x Combine like terms: -4x + -1x = -5x 55 + -5x = 5 + x + -1x Combine like terms: x + -1x = 0 55 + -5x = 5 + 0 55 + -5x = 5 Add '-55' to each side of the equation. 55 + -55 + -5x = 5 + -55 Combine like terms: 55 + -55 = 0 0 + -5x = 5 + -55 -5x = 5 + -55 Combine like terms: 5 + -55 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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