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Simplifying 11x + 5 + -8x = 7x + 12 + -6x Reorder the terms: 5 + 11x + -8x = 7x + 12 + -6x Combine like terms: 11x + -8x = 3x 5 + 3x = 7x + 12 + -6x Reorder the terms: 5 + 3x = 12 + 7x + -6x Combine like terms: 7x + -6x = 1x 5 + 3x = 12 + 1x Solving 5 + 3x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + 3x + -1x = 12 + 1x + -1x Combine like terms: 3x + -1x = 2x 5 + 2x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + 2x = 12 + 0 5 + 2x = 12 Add '-5' to each side of the equation. 5 + -5 + 2x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 12 + -5 2x = 12 + -5 Combine like terms: 12 + -5 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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