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Simplifying 0.2(2.1 + 6x) = 1.3x (2.1 * 0.2 + 6x * 0.2) = 1.3x (0.42 + 1.2x) = 1.3x Solving 0.42 + 1.2x = 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. 0.42 + 1.2x + -1.3x = 1.3x + -1.3x Combine like terms: 1.2x + -1.3x = -0.1x 0.42 + -0.1x = 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 0.42 + -0.1x = 0.0 Add '-0.42' to each side of the equation. 0.42 + -0.42 + -0.1x = 0.0 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + -0.1x = 0.0 + -0.42 -0.1x = 0.0 + -0.42 Combine like terms: 0.0 + -0.42 = -0.42 -0.1x = -0.42 Divide each side by '-0.1'. x = 4.2 Simplifying x = 4.2
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