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Simplifying 6.8(x + -2) = -0.2x + 35.4 Reorder the terms: 6.8(-2 + x) = -0.2x + 35.4 (-2 * 6.8 + x * 6.8) = -0.2x + 35.4 (-13.6 + 6.8x) = -0.2x + 35.4 Reorder the terms: -13.6 + 6.8x = 35.4 + -0.2x Solving -13.6 + 6.8x = 35.4 + -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. -13.6 + 6.8x + 0.2x = 35.4 + -0.2x + 0.2x Combine like terms: 6.8x + 0.2x = 7x -13.6 + 7x = 35.4 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -13.6 + 7x = 35.4 + 0.0 -13.6 + 7x = 35.4 Add '13.6' to each side of the equation. -13.6 + 13.6 + 7x = 35.4 + 13.6 Combine like terms: -13.6 + 13.6 = 0.0 0.0 + 7x = 35.4 + 13.6 7x = 35.4 + 13.6 Combine like terms: 35.4 + 13.6 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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