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Simplifying -4(3 + -1x) = 0.8(x + 13) (3 * -4 + -1x * -4) = 0.8(x + 13) (-12 + 4x) = 0.8(x + 13) Reorder the terms: -12 + 4x = 0.8(13 + x) -12 + 4x = (13 * 0.8 + x * 0.8) -12 + 4x = (10.4 + 0.8x) Solving -12 + 4x = 10.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -12 + 4x + -0.8x = 10.4 + 0.8x + -0.8x Combine like terms: 4x + -0.8x = 3.2x -12 + 3.2x = 10.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -12 + 3.2x = 10.4 + 0.0 -12 + 3.2x = 10.4 Add '12' to each side of the equation. -12 + 12 + 3.2x = 10.4 + 12 Combine like terms: -12 + 12 = 0 0 + 3.2x = 10.4 + 12 3.2x = 10.4 + 12 Combine like terms: 10.4 + 12 = 22.4 3.2x = 22.4 Divide each side by '3.2'. x = 7 Simplifying x = 7
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