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Simplifying 15x + 20 + -10x + -9 = 25x + 8 + -21x + -7 Reorder the terms: 20 + -9 + 15x + -10x = 25x + 8 + -21x + -7 Combine like terms: 20 + -9 = 11 11 + 15x + -10x = 25x + 8 + -21x + -7 Combine like terms: 15x + -10x = 5x 11 + 5x = 25x + 8 + -21x + -7 Reorder the terms: 11 + 5x = 8 + -7 + 25x + -21x Combine like terms: 8 + -7 = 1 11 + 5x = 1 + 25x + -21x Combine like terms: 25x + -21x = 4x 11 + 5x = 1 + 4x Solving 11 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 11 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 11 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + 1x = 1 + 0 11 + 1x = 1 Add '-11' to each side of the equation. 11 + -11 + 1x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 1 + -11 1x = 1 + -11 Combine like terms: 1 + -11 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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