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Simplifying 15x + 1000 = 12x + 1300 Reorder the terms: 1000 + 15x = 12x + 1300 Reorder the terms: 1000 + 15x = 1300 + 12x Solving 1000 + 15x = 1300 + 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. 1000 + 15x + -12x = 1300 + 12x + -12x Combine like terms: 15x + -12x = 3x 1000 + 3x = 1300 + 12x + -12x Combine like terms: 12x + -12x = 0 1000 + 3x = 1300 + 0 1000 + 3x = 1300 Add '-1000' to each side of the equation. 1000 + -1000 + 3x = 1300 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 3x = 1300 + -1000 3x = 1300 + -1000 Combine like terms: 1300 + -1000 = 300 3x = 300 Divide each side by '3'. x = 100 Simplifying x = 100
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