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Simplifying 6.6(x + -4) = -0.4x + 8.6 Reorder the terms: 6.6(-4 + x) = -0.4x + 8.6 (-4 * 6.6 + x * 6.6) = -0.4x + 8.6 (-26.4 + 6.6x) = -0.4x + 8.6 Reorder the terms: -26.4 + 6.6x = 8.6 + -0.4x Solving -26.4 + 6.6x = 8.6 + -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. -26.4 + 6.6x + 0.4x = 8.6 + -0.4x + 0.4x Combine like terms: 6.6x + 0.4x = 7x -26.4 + 7x = 8.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -26.4 + 7x = 8.6 + 0.0 -26.4 + 7x = 8.6 Add '26.4' to each side of the equation. -26.4 + 26.4 + 7x = 8.6 + 26.4 Combine like terms: -26.4 + 26.4 = 0.0 0.0 + 7x = 8.6 + 26.4 7x = 8.6 + 26.4 Combine like terms: 8.6 + 26.4 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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