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Simplifying 2x + 12x + 9 + 2x + -12 + 9 = 15x + -5x Reorder the terms: 9 + -12 + 9 + 2x + 12x + 2x = 15x + -5x Combine like terms: 9 + -12 = -3 -3 + 9 + 2x + 12x + 2x = 15x + -5x Combine like terms: -3 + 9 = 6 6 + 2x + 12x + 2x = 15x + -5x Combine like terms: 2x + 12x = 14x 6 + 14x + 2x = 15x + -5x Combine like terms: 14x + 2x = 16x 6 + 16x = 15x + -5x Combine like terms: 15x + -5x = 10x 6 + 16x = 10x Solving 6 + 16x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 16x + -10x = 10x + -10x Combine like terms: 16x + -10x = 6x 6 + 6x = 10x + -10x Combine like terms: 10x + -10x = 0 6 + 6x = 0 Add '-6' to each side of the equation. 6 + -6 + 6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 0 + -6 6x = 0 + -6 Combine like terms: 0 + -6 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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