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Simplifying -6 + -5x + 11 = 12 + 2x + 7 Reorder the terms: -6 + 11 + -5x = 12 + 2x + 7 Combine like terms: -6 + 11 = 5 5 + -5x = 12 + 2x + 7 Reorder the terms: 5 + -5x = 12 + 7 + 2x Combine like terms: 12 + 7 = 19 5 + -5x = 19 + 2x Solving 5 + -5x = 19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -5x + -2x = 19 + 2x + -2x Combine like terms: -5x + -2x = -7x 5 + -7x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -7x = 19 + 0 5 + -7x = 19 Add '-5' to each side of the equation. 5 + -5 + -7x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 19 + -5 -7x = 19 + -5 Combine like terms: 19 + -5 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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