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Simplifying 3x + -0.2(x + -7.1) = (0.4) Reorder the terms: 3x + -0.2(-7.1 + x) = (0.4) 3x + (-7.1 * -0.2 + x * -0.2) = (0.4) 3x + (1.42 + -0.2x) = (0.4) Reorder the terms: 1.42 + 3x + -0.2x = (0.4) Combine like terms: 3x + -0.2x = 2.8x 1.42 + 2.8x = (0.4) 1.42 + 2.8x = 0.4 Solving 1.42 + 2.8x = 0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.42' to each side of the equation. 1.42 + -1.42 + 2.8x = 0.4 + -1.42 Combine like terms: 1.42 + -1.42 = 0.00 0.00 + 2.8x = 0.4 + -1.42 2.8x = 0.4 + -1.42 Combine like terms: 0.4 + -1.42 = -1.02 2.8x = -1.02 Divide each side by '2.8'. x = -0.3642857143 Simplifying x = -0.3642857143
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