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Simplifying 32 = 8 + 0.40(x + -40) Reorder the terms: 32 = 8 + 0.40(-40 + x) 32 = 8 + (-40 * 0.40 + x * 0.40) 32 = 8 + (-16 + 0.40x) Combine like terms: 8 + -16 = -8 32 = -8 + 0.40x Solving 32 = -8 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 32 + -0.40x = -8 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 32 + -0.40x = -8 + 0.00 32 + -0.40x = -8 Add '-32' to each side of the equation. 32 + -32 + -0.40x = -8 + -32 Combine like terms: 32 + -32 = 0 0 + -0.40x = -8 + -32 -0.40x = -8 + -32 Combine like terms: -8 + -32 = -40 -0.40x = -40 Divide each side by '-0.40'. x = 100 Simplifying x = 100
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