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Simplifying 8x + 5 + 3x = 7 + 4x + 12 Reorder the terms: 5 + 8x + 3x = 7 + 4x + 12 Combine like terms: 8x + 3x = 11x 5 + 11x = 7 + 4x + 12 Reorder the terms: 5 + 11x = 7 + 12 + 4x Combine like terms: 7 + 12 = 19 5 + 11x = 19 + 4x Solving 5 + 11x = 19 + 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 = 19 + 4x + -4x Combine like terms: 11x + -4x = 7x 5 + 7x = 19 + 4x + -4x Combine like terms: 4x + -4x = 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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