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Simplifying 0.8(4 + -3x) + -0.1(8.4) = 6 (4 * 0.8 + -3x * 0.8) + -0.1(8.4) = 6 (3.2 + -2.4x) + -0.1(8.4) = 6 Multiply -0.1 * 8.4 3.2 + -2.4x + -0.84 = 6 Reorder the terms: 3.2 + -0.84 + -2.4x = 6 Combine like terms: 3.2 + -0.84 = 2.36 2.36 + -2.4x = 6 Solving 2.36 + -2.4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.36' to each side of the equation. 2.36 + -2.36 + -2.4x = 6 + -2.36 Combine like terms: 2.36 + -2.36 = 0.00 0.00 + -2.4x = 6 + -2.36 -2.4x = 6 + -2.36 Combine like terms: 6 + -2.36 = 3.64 -2.4x = 3.64 Divide each side by '-2.4'. x = -1.516666667 Simplifying x = -1.516666667
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