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Simplifying 2.1(3 + -1x) = 8.4 (3 * 2.1 + -1x * 2.1) = 8.4 (6.3 + -2.1x) = 8.4 Solving 6.3 + -2.1x = 8.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.3' to each side of the equation. 6.3 + -6.3 + -2.1x = 8.4 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -2.1x = 8.4 + -6.3 -2.1x = 8.4 + -6.3 Combine like terms: 8.4 + -6.3 = 2.1 -2.1x = 2.1 Divide each side by '-2.1'. x = -1 Simplifying x = -1
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