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Simplifying 12x + -5 = 4x + 35 Reorder the terms: -5 + 12x = 4x + 35 Reorder the terms: -5 + 12x = 35 + 4x Solving -5 + 12x = 35 + 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 + 12x + -4x = 35 + 4x + -4x Combine like terms: 12x + -4x = 8x -5 + 8x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + 8x = 35 + 0 -5 + 8x = 35 Add '5' to each side of the equation. -5 + 5 + 8x = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 35 + 5 8x = 35 + 5 Combine like terms: 35 + 5 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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