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Simplifying 6.6(x + -1) = -0.4x + 35.4 Reorder the terms: 6.6(-1 + x) = -0.4x + 35.4 (-1 * 6.6 + x * 6.6) = -0.4x + 35.4 (-6.6 + 6.6x) = -0.4x + 35.4 Reorder the terms: -6.6 + 6.6x = 35.4 + -0.4x Solving -6.6 + 6.6x = 35.4 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -6.6 + 6.6x + 0.4x = 35.4 + -0.4x + 0.4x Combine like terms: 6.6x + 0.4x = 7x -6.6 + 7x = 35.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -6.6 + 7x = 35.4 + 0.0 -6.6 + 7x = 35.4 Add '6.6' to each side of the equation. -6.6 + 6.6 + 7x = 35.4 + 6.6 Combine like terms: -6.6 + 6.6 = 0.0 0.0 + 7x = 35.4 + 6.6 7x = 35.4 + 6.6 Combine like terms: 35.4 + 6.6 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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