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Simplifying 6.7x + -1 = -0.3x + 35.3 Reorder the terms: -1 + 6.7x = -0.3x + 35.3 Reorder the terms: -1 + 6.7x = 35.3 + -0.3x Solving -1 + 6.7x = 35.3 + -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. -1 + 6.7x + 0.3x = 35.3 + -0.3x + 0.3x Combine like terms: 6.7x + 0.3x = 7x -1 + 7x = 35.3 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -1 + 7x = 35.3 + 0.0 -1 + 7x = 35.3 Add '1' to each side of the equation. -1 + 1 + 7x = 35.3 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 35.3 + 1 7x = 35.3 + 1 Combine like terms: 35.3 + 1 = 36.3 7x = 36.3 Divide each side by '7'. x = 5.185714286 Simplifying x = 5.185714286
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