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Simplifying 6.8(x + -3) = -0.2x + 35.6 Reorder the terms: 6.8(-3 + x) = -0.2x + 35.6 (-3 * 6.8 + x * 6.8) = -0.2x + 35.6 (-20.4 + 6.8x) = -0.2x + 35.6 Reorder the terms: -20.4 + 6.8x = 35.6 + -0.2x Solving -20.4 + 6.8x = 35.6 + -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. -20.4 + 6.8x + 0.2x = 35.6 + -0.2x + 0.2x Combine like terms: 6.8x + 0.2x = 7x -20.4 + 7x = 35.6 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -20.4 + 7x = 35.6 + 0.0 -20.4 + 7x = 35.6 Add '20.4' to each side of the equation. -20.4 + 20.4 + 7x = 35.6 + 20.4 Combine like terms: -20.4 + 20.4 = 0.0 0.0 + 7x = 35.6 + 20.4 7x = 35.6 + 20.4 Combine like terms: 35.6 + 20.4 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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