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Simplifying 8.54x + 100 = 72.9316 + 10x Reorder the terms: 100 + 8.54x = 72.9316 + 10x Solving 100 + 8.54x = 72.9316 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + 8.54x + -10x = 72.9316 + 10x + -10x Combine like terms: 8.54x + -10x = -1.46x 100 + -1.46x = 72.9316 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -1.46x = 72.9316 + 0 100 + -1.46x = 72.9316 Add '-100' to each side of the equation. 100 + -100 + -1.46x = 72.9316 + -100 Combine like terms: 100 + -100 = 0 0 + -1.46x = 72.9316 + -100 -1.46x = 72.9316 + -100 Combine like terms: 72.9316 + -100 = -27.0684 -1.46x = -27.0684 Divide each side by '-1.46'. x = 18.54 Simplifying x = 18.54
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