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Simplifying 3x + -1 + 4x + -9 + 9x = 15x + 2 Reorder the terms: -1 + -9 + 3x + 4x + 9x = 15x + 2 Combine like terms: -1 + -9 = -10 -10 + 3x + 4x + 9x = 15x + 2 Combine like terms: 3x + 4x = 7x -10 + 7x + 9x = 15x + 2 Combine like terms: 7x + 9x = 16x -10 + 16x = 15x + 2 Reorder the terms: -10 + 16x = 2 + 15x Solving -10 + 16x = 2 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 16x + -15x = 2 + 15x + -15x Combine like terms: 16x + -15x = 1x -10 + 1x = 2 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + 1x = 2 + 0 -10 + 1x = 2 Add '10' to each side of the equation. -10 + 10 + 1x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 2 + 10 1x = 2 + 10 Combine like terms: 2 + 10 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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