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Simplifying 3x + -0.4(5 + -32x + -7) = 5.6 Reorder the terms: 3x + -0.4(5 + -7 + -32x) = 5.6 Combine like terms: 5 + -7 = -2 3x + -0.4(-2 + -32x) = 5.6 3x + (-2 * -0.4 + -32x * -0.4) = 5.6 3x + (0.8 + 12.8x) = 5.6 Reorder the terms: 0.8 + 3x + 12.8x = 5.6 Combine like terms: 3x + 12.8x = 15.8x 0.8 + 15.8x = 5.6 Solving 0.8 + 15.8x = 5.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 15.8x = 5.6 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 15.8x = 5.6 + -0.8 15.8x = 5.6 + -0.8 Combine like terms: 5.6 + -0.8 = 4.8 15.8x = 4.8 Divide each side by '15.8'. x = 0.3037974684 Simplifying x = 0.3037974684
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