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Simplifying 11x + 12 + -7x = 5x + -6 Reorder the terms: 12 + 11x + -7x = 5x + -6 Combine like terms: 11x + -7x = 4x 12 + 4x = 5x + -6 Reorder the terms: 12 + 4x = -6 + 5x Solving 12 + 4x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 4x + -5x = -6 + 5x + -5x Combine like terms: 4x + -5x = -1x 12 + -1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -1x = -6 + 0 12 + -1x = -6 Add '-12' to each side of the equation. 12 + -12 + -1x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -6 + -12 -1x = -6 + -12 Combine like terms: -6 + -12 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18
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