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Simplifying 0.4(0.71 + 6x) = 3.2x (0.71 * 0.4 + 6x * 0.4) = 3.2x (0.284 + 2.4x) = 3.2x Solving 0.284 + 2.4x = 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 0.284 + 2.4x + -3.2x = 3.2x + -3.2x Combine like terms: 2.4x + -3.2x = -0.8x 0.284 + -0.8x = 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 0.284 + -0.8x = 0.0 Add '-0.284' to each side of the equation. 0.284 + -0.284 + -0.8x = 0.0 + -0.284 Combine like terms: 0.284 + -0.284 = 0.000 0.000 + -0.8x = 0.0 + -0.284 -0.8x = 0.0 + -0.284 Combine like terms: 0.0 + -0.284 = -0.284 -0.8x = -0.284 Divide each side by '-0.8'. x = 0.355 Simplifying x = 0.355
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