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Simplifying 6.8(x + -1) = -0.2x + 28.2 Reorder the terms: 6.8(-1 + x) = -0.2x + 28.2 (-1 * 6.8 + x * 6.8) = -0.2x + 28.2 (-6.8 + 6.8x) = -0.2x + 28.2 Reorder the terms: -6.8 + 6.8x = 28.2 + -0.2x Solving -6.8 + 6.8x = 28.2 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. -6.8 + 6.8x + 0.2x = 28.2 + -0.2x + 0.2x Combine like terms: 6.8x + 0.2x = 7x -6.8 + 7x = 28.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -6.8 + 7x = 28.2 + 0.0 -6.8 + 7x = 28.2 Add '6.8' to each side of the equation. -6.8 + 6.8 + 7x = 28.2 + 6.8 Combine like terms: -6.8 + 6.8 = 0.0 0.0 + 7x = 28.2 + 6.8 7x = 28.2 + 6.8 Combine like terms: 28.2 + 6.8 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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