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Simplifying 4.6(x + -4) = -0.4x + 16.6 Reorder the terms: 4.6(-4 + x) = -0.4x + 16.6 (-4 * 4.6 + x * 4.6) = -0.4x + 16.6 (-18.4 + 4.6x) = -0.4x + 16.6 Reorder the terms: -18.4 + 4.6x = 16.6 + -0.4x Solving -18.4 + 4.6x = 16.6 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -18.4 + 4.6x + 0.4x = 16.6 + -0.4x + 0.4x Combine like terms: 4.6x + 0.4x = 5x -18.4 + 5x = 16.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -18.4 + 5x = 16.6 + 0.0 -18.4 + 5x = 16.6 Add '18.4' to each side of the equation. -18.4 + 18.4 + 5x = 16.6 + 18.4 Combine like terms: -18.4 + 18.4 = 0.0 0.0 + 5x = 16.6 + 18.4 5x = 16.6 + 18.4 Combine like terms: 16.6 + 18.4 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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