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Simplifying 0.6(x + 100) = 0.64x + -252 Reorder the terms: 0.6(100 + x) = 0.64x + -252 (100 * 0.6 + x * 0.6) = 0.64x + -252 (60 + 0.6x) = 0.64x + -252 Reorder the terms: 60 + 0.6x = -252 + 0.64x Solving 60 + 0.6x = -252 + 0.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.64x' to each side of the equation. 60 + 0.6x + -0.64x = -252 + 0.64x + -0.64x Combine like terms: 0.6x + -0.64x = -0.04x 60 + -0.04x = -252 + 0.64x + -0.64x Combine like terms: 0.64x + -0.64x = 0.00 60 + -0.04x = -252 + 0.00 60 + -0.04x = -252 Add '-60' to each side of the equation. 60 + -60 + -0.04x = -252 + -60 Combine like terms: 60 + -60 = 0 0 + -0.04x = -252 + -60 -0.04x = -252 + -60 Combine like terms: -252 + -60 = -312 -0.04x = -312 Divide each side by '-0.04'. x = 7800 Simplifying x = 7800
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