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Simplifying 8x + 12 = (-3x) + 34 Reorder the terms: 12 + 8x = (-3x) + 34 Reorder the terms: 12 + 8x = 34 + (-3x) Solving 12 + 8x = 34 + (-3x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(3x)' to each side of the equation. 12 + 8x + (3x) = 34 + (-3x) + (3x) Combine like terms: 8x + (3x) = 11x 12 + 11x = 34 + (-3x) + (3x) Combine like terms: (-3x) + (3x) = 0 12 + 11x = 34 + 0 12 + 11x = 34 Add '-12' to each side of the equation. 12 + -12 + 11x = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 34 + -12 11x = 34 + -12 Combine like terms: 34 + -12 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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