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Simplifying 8x + 288.5 = 12x + 193.5 Reorder the terms: 288.5 + 8x = 12x + 193.5 Reorder the terms: 288.5 + 8x = 193.5 + 12x Solving 288.5 + 8x = 193.5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 288.5 + 8x + -12x = 193.5 + 12x + -12x Combine like terms: 8x + -12x = -4x 288.5 + -4x = 193.5 + 12x + -12x Combine like terms: 12x + -12x = 0 288.5 + -4x = 193.5 + 0 288.5 + -4x = 193.5 Add '-288.5' to each side of the equation. 288.5 + -288.5 + -4x = 193.5 + -288.5 Combine like terms: 288.5 + -288.5 = 0.0 0.0 + -4x = 193.5 + -288.5 -4x = 193.5 + -288.5 Combine like terms: 193.5 + -288.5 = -95 -4x = -95 Divide each side by '-4'. x = 23.75 Simplifying x = 23.75
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