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Simplifying 8x + -5x + 145 = 8x + 100 Reorder the terms: 145 + 8x + -5x = 8x + 100 Combine like terms: 8x + -5x = 3x 145 + 3x = 8x + 100 Reorder the terms: 145 + 3x = 100 + 8x Solving 145 + 3x = 100 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 145 + 3x + -8x = 100 + 8x + -8x Combine like terms: 3x + -8x = -5x 145 + -5x = 100 + 8x + -8x Combine like terms: 8x + -8x = 0 145 + -5x = 100 + 0 145 + -5x = 100 Add '-145' to each side of the equation. 145 + -145 + -5x = 100 + -145 Combine like terms: 145 + -145 = 0 0 + -5x = 100 + -145 -5x = 100 + -145 Combine like terms: 100 + -145 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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