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Simplifying 0.4x + 6.2 = 0.4(2x + -18.4) Reorder the terms: 6.2 + 0.4x = 0.4(2x + -18.4) Reorder the terms: 6.2 + 0.4x = 0.4(-18.4 + 2x) 6.2 + 0.4x = (-18.4 * 0.4 + 2x * 0.4) 6.2 + 0.4x = (-7.36 + 0.8x) Solving 6.2 + 0.4x = -7.36 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 6.2 + 0.4x + -0.8x = -7.36 + 0.8x + -0.8x Combine like terms: 0.4x + -0.8x = -0.4x 6.2 + -0.4x = -7.36 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 6.2 + -0.4x = -7.36 + 0.0 6.2 + -0.4x = -7.36 Add '-6.2' to each side of the equation. 6.2 + -6.2 + -0.4x = -7.36 + -6.2 Combine like terms: 6.2 + -6.2 = 0.0 0.0 + -0.4x = -7.36 + -6.2 -0.4x = -7.36 + -6.2 Combine like terms: -7.36 + -6.2 = -13.56 -0.4x = -13.56 Divide each side by '-0.4'. x = 33.9 Simplifying x = 33.9
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