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Simplifying 12x + 7 = 4x + 35 Reorder the terms: 7 + 12x = 4x + 35 Reorder the terms: 7 + 12x = 35 + 4x Solving 7 + 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. 7 + 12x + -4x = 35 + 4x + -4x Combine like terms: 12x + -4x = 8x 7 + 8x = 35 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 8x = 35 + 0 7 + 8x = 35 Add '-7' to each side of the equation. 7 + -7 + 8x = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 35 + -7 8x = 35 + -7 Combine like terms: 35 + -7 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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