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Simplifying -1x + 5 + 12x = -2 + 4x + 14 Reorder the terms: 5 + -1x + 12x = -2 + 4x + 14 Combine like terms: -1x + 12x = 11x 5 + 11x = -2 + 4x + 14 Reorder the terms: 5 + 11x = -2 + 14 + 4x Combine like terms: -2 + 14 = 12 5 + 11x = 12 + 4x Solving 5 + 11x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 11x + -4x = 12 + 4x + -4x Combine like terms: 11x + -4x = 7x 5 + 7x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 7x = 12 + 0 5 + 7x = 12 Add '-5' to each side of the equation. 5 + -5 + 7x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 12 + -5 7x = 12 + -5 Combine like terms: 12 + -5 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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