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Simplifying 0.4(5x + -9) = 8 + -1(4x + 10) Reorder the terms: 0.4(-9 + 5x) = 8 + -1(4x + 10) (-9 * 0.4 + 5x * 0.4) = 8 + -1(4x + 10) (-3.6 + 2x) = 8 + -1(4x + 10) Reorder the terms: -3.6 + 2x = 8 + -1(10 + 4x) -3.6 + 2x = 8 + (10 * -1 + 4x * -1) -3.6 + 2x = 8 + (-10 + -4x) Combine like terms: 8 + -10 = -2 -3.6 + 2x = -2 + -4x Solving -3.6 + 2x = -2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3.6 + 2x + 4x = -2 + -4x + 4x Combine like terms: 2x + 4x = 6x -3.6 + 6x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -3.6 + 6x = -2 + 0 -3.6 + 6x = -2 Add '3.6' to each side of the equation. -3.6 + 3.6 + 6x = -2 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 6x = -2 + 3.6 6x = -2 + 3.6 Combine like terms: -2 + 3.6 = 1.6 6x = 1.6 Divide each side by '6'. x = 0.2666666667 Simplifying x = 0.2666666667
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