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Simplifying 7.8(x + -4) = -0.2x + 16.8 Reorder the terms: 7.8(-4 + x) = -0.2x + 16.8 (-4 * 7.8 + x * 7.8) = -0.2x + 16.8 (-31.2 + 7.8x) = -0.2x + 16.8 Reorder the terms: -31.2 + 7.8x = 16.8 + -0.2x Solving -31.2 + 7.8x = 16.8 + -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. -31.2 + 7.8x + 0.2x = 16.8 + -0.2x + 0.2x Combine like terms: 7.8x + 0.2x = 8x -31.2 + 8x = 16.8 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -31.2 + 8x = 16.8 + 0.0 -31.2 + 8x = 16.8 Add '31.2' to each side of the equation. -31.2 + 31.2 + 8x = 16.8 + 31.2 Combine like terms: -31.2 + 31.2 = 0.0 0.0 + 8x = 16.8 + 31.2 8x = 16.8 + 31.2 Combine like terms: 16.8 + 31.2 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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