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Simplifying 0.4x + -0.8(15 + -4x) = -0.6(x + -8) 0.4x + (15 * -0.8 + -4x * -0.8) = -0.6(x + -8) 0.4x + (-12 + 3.2x) = -0.6(x + -8) Reorder the terms: -12 + 0.4x + 3.2x = -0.6(x + -8) Combine like terms: 0.4x + 3.2x = 3.6x -12 + 3.6x = -0.6(x + -8) Reorder the terms: -12 + 3.6x = -0.6(-8 + x) -12 + 3.6x = (-8 * -0.6 + x * -0.6) -12 + 3.6x = (4.8 + -0.6x) Solving -12 + 3.6x = 4.8 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -12 + 3.6x + 0.6x = 4.8 + -0.6x + 0.6x Combine like terms: 3.6x + 0.6x = 4.2x -12 + 4.2x = 4.8 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -12 + 4.2x = 4.8 + 0.0 -12 + 4.2x = 4.8 Add '12' to each side of the equation. -12 + 12 + 4.2x = 4.8 + 12 Combine like terms: -12 + 12 = 0 0 + 4.2x = 4.8 + 12 4.2x = 4.8 + 12 Combine like terms: 4.8 + 12 = 16.8 4.2x = 16.8 Divide each side by '4.2'. x = 4 Simplifying x = 4
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