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Simplifying 0.7x + -11 = 0.3x + 41 Reorder the terms: -11 + 0.7x = 0.3x + 41 Reorder the terms: -11 + 0.7x = 41 + 0.3x Solving -11 + 0.7x = 41 + 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. -11 + 0.7x + -0.3x = 41 + 0.3x + -0.3x Combine like terms: 0.7x + -0.3x = 0.4x -11 + 0.4x = 41 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -11 + 0.4x = 41 + 0.0 -11 + 0.4x = 41 Add '11' to each side of the equation. -11 + 11 + 0.4x = 41 + 11 Combine like terms: -11 + 11 = 0 0 + 0.4x = 41 + 11 0.4x = 41 + 11 Combine like terms: 41 + 11 = 52 0.4x = 52 Divide each side by '0.4'. x = 130 Simplifying x = 130
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