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Simplifying 3(6 + -1x) = 0.4(x + 8) (6 * 3 + -1x * 3) = 0.4(x + 8) (18 + -3x) = 0.4(x + 8) Reorder the terms: 18 + -3x = 0.4(8 + x) 18 + -3x = (8 * 0.4 + x * 0.4) 18 + -3x = (3.2 + 0.4x) Solving 18 + -3x = 3.2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 18 + -3x + -0.4x = 3.2 + 0.4x + -0.4x Combine like terms: -3x + -0.4x = -3.4x 18 + -3.4x = 3.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 18 + -3.4x = 3.2 + 0.0 18 + -3.4x = 3.2 Add '-18' to each side of the equation. 18 + -18 + -3.4x = 3.2 + -18 Combine like terms: 18 + -18 = 0 0 + -3.4x = 3.2 + -18 -3.4x = 3.2 + -18 Combine like terms: 3.2 + -18 = -14.8 -3.4x = -14.8 Divide each side by '-3.4'. x = 4.352941176 Simplifying x = 4.352941176
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