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Simplifying 12x + -78 = 4x + 130 Reorder the terms: -78 + 12x = 4x + 130 Reorder the terms: -78 + 12x = 130 + 4x Solving -78 + 12x = 130 + 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. -78 + 12x + -4x = 130 + 4x + -4x Combine like terms: 12x + -4x = 8x -78 + 8x = 130 + 4x + -4x Combine like terms: 4x + -4x = 0 -78 + 8x = 130 + 0 -78 + 8x = 130 Add '78' to each side of the equation. -78 + 78 + 8x = 130 + 78 Combine like terms: -78 + 78 = 0 0 + 8x = 130 + 78 8x = 130 + 78 Combine like terms: 130 + 78 = 208 8x = 208 Divide each side by '8'. x = 26 Simplifying x = 26
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