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Simplifying 0.4(5x + -8) = -0.8(6x + 15) Reorder the terms: 0.4(-8 + 5x) = -0.8(6x + 15) (-8 * 0.4 + 5x * 0.4) = -0.8(6x + 15) (-3.2 + 2x) = -0.8(6x + 15) Reorder the terms: -3.2 + 2x = -0.8(15 + 6x) -3.2 + 2x = (15 * -0.8 + 6x * -0.8) -3.2 + 2x = (-12 + -4.8x) Solving -3.2 + 2x = -12 + -4.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.8x' to each side of the equation. -3.2 + 2x + 4.8x = -12 + -4.8x + 4.8x Combine like terms: 2x + 4.8x = 6.8x -3.2 + 6.8x = -12 + -4.8x + 4.8x Combine like terms: -4.8x + 4.8x = 0.0 -3.2 + 6.8x = -12 + 0.0 -3.2 + 6.8x = -12 Add '3.2' to each side of the equation. -3.2 + 3.2 + 6.8x = -12 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 6.8x = -12 + 3.2 6.8x = -12 + 3.2 Combine like terms: -12 + 3.2 = -8.8 6.8x = -8.8 Divide each side by '6.8'. x = -1.294117647 Simplifying x = -1.294117647
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