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Simplifying -40(40) + 0.8x = 0.4(40 + x) Multiply -40 * 40 -1600 + 0.8x = 0.4(40 + x) -1600 + 0.8x = (40 * 0.4 + x * 0.4) -1600 + 0.8x = (16 + 0.4x) Solving -1600 + 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. -1600 + 0.8x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x -1600 + 0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -1600 + 0.4x = 16 + 0.0 -1600 + 0.4x = 16 Add '1600' to each side of the equation. -1600 + 1600 + 0.4x = 16 + 1600 Combine like terms: -1600 + 1600 = 0 0 + 0.4x = 16 + 1600 0.4x = 16 + 1600 Combine like terms: 16 + 1600 = 1616 0.4x = 1616 Divide each side by '0.4'. x = 4040 Simplifying x = 4040
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