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Simplifying 0.16(5x + -2) = 0.4x + 7 Reorder the terms: 0.16(-2 + 5x) = 0.4x + 7 (-2 * 0.16 + 5x * 0.16) = 0.4x + 7 (-0.32 + 0.8x) = 0.4x + 7 Reorder the terms: -0.32 + 0.8x = 7 + 0.4x Solving -0.32 + 0.8x = 7 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -0.32 + 0.8x + -0.4x = 7 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x -0.32 + 0.4x = 7 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -0.32 + 0.4x = 7 + 0.0 -0.32 + 0.4x = 7 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.4x = 7 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.4x = 7 + 0.32 0.4x = 7 + 0.32 Combine like terms: 7 + 0.32 = 7.32 0.4x = 7.32 Divide each side by '0.4'. x = 18.3 Simplifying x = 18.3
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