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Simplifying 0.5(x + 100) = 0.54x + -262 Reorder the terms: 0.5(100 + x) = 0.54x + -262 (100 * 0.5 + x * 0.5) = 0.54x + -262 (50 + 0.5x) = 0.54x + -262 Reorder the terms: 50 + 0.5x = -262 + 0.54x Solving 50 + 0.5x = -262 + 0.54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.54x' to each side of the equation. 50 + 0.5x + -0.54x = -262 + 0.54x + -0.54x Combine like terms: 0.5x + -0.54x = -0.04x 50 + -0.04x = -262 + 0.54x + -0.54x Combine like terms: 0.54x + -0.54x = 0.00 50 + -0.04x = -262 + 0.00 50 + -0.04x = -262 Add '-50' to each side of the equation. 50 + -50 + -0.04x = -262 + -50 Combine like terms: 50 + -50 = 0 0 + -0.04x = -262 + -50 -0.04x = -262 + -50 Combine like terms: -262 + -50 = -312 -0.04x = -312 Divide each side by '-0.04'. x = 7800 Simplifying x = 7800
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