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Simplifying 15x + -45 + 15 = 5x + 100 Reorder the terms: -45 + 15 + 15x = 5x + 100 Combine like terms: -45 + 15 = -30 -30 + 15x = 5x + 100 Reorder the terms: -30 + 15x = 100 + 5x Solving -30 + 15x = 100 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -30 + 15x + -5x = 100 + 5x + -5x Combine like terms: 15x + -5x = 10x -30 + 10x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 10x = 100 + 0 -30 + 10x = 100 Add '30' to each side of the equation. -30 + 30 + 10x = 100 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 100 + 30 10x = 100 + 30 Combine like terms: 100 + 30 = 130 10x = 130 Divide each side by '10'. x = 13 Simplifying x = 13
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