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Simplifying 6.7(x + -1) = -0.3x + 35.3 Reorder the terms: 6.7(-1 + x) = -0.3x + 35.3 (-1 * 6.7 + x * 6.7) = -0.3x + 35.3 (-6.7 + 6.7x) = -0.3x + 35.3 Reorder the terms: -6.7 + 6.7x = 35.3 + -0.3x Solving -6.7 + 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. -6.7 + 6.7x + 0.3x = 35.3 + -0.3x + 0.3x Combine like terms: 6.7x + 0.3x = 7x -6.7 + 7x = 35.3 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 -6.7 + 7x = 35.3 + 0.0 -6.7 + 7x = 35.3 Add '6.7' to each side of the equation. -6.7 + 6.7 + 7x = 35.3 + 6.7 Combine like terms: -6.7 + 6.7 = 0.0 0.0 + 7x = 35.3 + 6.7 7x = 35.3 + 6.7 Combine like terms: 35.3 + 6.7 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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