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Simplifying 2x + -6 + 5x + 11 = -2x + 4 + -6x + -2 + -12 Reorder the terms: -6 + 11 + 2x + 5x = -2x + 4 + -6x + -2 + -12 Combine like terms: -6 + 11 = 5 5 + 2x + 5x = -2x + 4 + -6x + -2 + -12 Combine like terms: 2x + 5x = 7x 5 + 7x = -2x + 4 + -6x + -2 + -12 Reorder the terms: 5 + 7x = 4 + -2 + -12 + -2x + -6x Combine like terms: 4 + -2 = 2 5 + 7x = 2 + -12 + -2x + -6x Combine like terms: 2 + -12 = -10 5 + 7x = -10 + -2x + -6x Combine like terms: -2x + -6x = -8x 5 + 7x = -10 + -8x Solving 5 + 7x = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 5 + 7x + 8x = -10 + -8x + 8x Combine like terms: 7x + 8x = 15x 5 + 15x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 5 + 15x = -10 + 0 5 + 15x = -10 Add '-5' to each side of the equation. 5 + -5 + 15x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 15x = -10 + -5 15x = -10 + -5 Combine like terms: -10 + -5 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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