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Simplifying -0.4(40) + 0.8x = 0.4(40 + x) Multiply -0.4 * 40 -16 + 0.8x = 0.4(40 + x) -16 + 0.8x = (40 * 0.4 + x * 0.4) -16 + 0.8x = (16 + 0.4x) Solving -16 + 0.8x = 16 + 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. -16 + 0.8x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x -16 + 0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -16 + 0.4x = 16 + 0.0 -16 + 0.4x = 16 Add '16' to each side of the equation. -16 + 16 + 0.4x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 0.4x = 16 + 16 0.4x = 16 + 16 Combine like terms: 16 + 16 = 32 0.4x = 32 Divide each side by '0.4'. x = 80 Simplifying x = 80
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