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Simplifying 7.8x + 0.2(x + -4) = -16.8 Reorder the terms: 7.8x + 0.2(-4 + x) = -16.8 7.8x + (-4 * 0.2 + x * 0.2) = -16.8 7.8x + (-0.8 + 0.2x) = -16.8 Reorder the terms: -0.8 + 7.8x + 0.2x = -16.8 Combine like terms: 7.8x + 0.2x = 8x -0.8 + 8x = -16.8 Solving -0.8 + 8x = -16.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8' to each side of the equation. -0.8 + 0.8 + 8x = -16.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 8x = -16.8 + 0.8 8x = -16.8 + 0.8 Combine like terms: -16.8 + 0.8 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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