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Simplifying 0.4(2x + -3) + 8(x + -4) = 2(2x + 6) Reorder the terms: 0.4(-3 + 2x) + 8(x + -4) = 2(2x + 6) (-3 * 0.4 + 2x * 0.4) + 8(x + -4) = 2(2x + 6) (-1.2 + 0.8x) + 8(x + -4) = 2(2x + 6) Reorder the terms: -1.2 + 0.8x + 8(-4 + x) = 2(2x + 6) -1.2 + 0.8x + (-4 * 8 + x * 8) = 2(2x + 6) -1.2 + 0.8x + (-32 + 8x) = 2(2x + 6) Reorder the terms: -1.2 + -32 + 0.8x + 8x = 2(2x + 6) Combine like terms: -1.2 + -32 = -33.2 -33.2 + 0.8x + 8x = 2(2x + 6) Combine like terms: 0.8x + 8x = 8.8x -33.2 + 8.8x = 2(2x + 6) Reorder the terms: -33.2 + 8.8x = 2(6 + 2x) -33.2 + 8.8x = (6 * 2 + 2x * 2) -33.2 + 8.8x = (12 + 4x) Solving -33.2 + 8.8x = 12 + 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. -33.2 + 8.8x + -4x = 12 + 4x + -4x Combine like terms: 8.8x + -4x = 4.8x -33.2 + 4.8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -33.2 + 4.8x = 12 + 0 -33.2 + 4.8x = 12 Add '33.2' to each side of the equation. -33.2 + 33.2 + 4.8x = 12 + 33.2 Combine like terms: -33.2 + 33.2 = 0.0 0.0 + 4.8x = 12 + 33.2 4.8x = 12 + 33.2 Combine like terms: 12 + 33.2 = 45.2 4.8x = 45.2 Divide each side by '4.8'. x = 9.416666667 Simplifying x = 9.416666667
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