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Simplifying 12x + -7 = 8x + 19 + 26 Reorder the terms: -7 + 12x = 8x + 19 + 26 Reorder the terms: -7 + 12x = 19 + 26 + 8x Combine like terms: 19 + 26 = 45 -7 + 12x = 45 + 8x Solving -7 + 12x = 45 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 12x + -8x = 45 + 8x + -8x Combine like terms: 12x + -8x = 4x -7 + 4x = 45 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 4x = 45 + 0 -7 + 4x = 45 Add '7' to each side of the equation. -7 + 7 + 4x = 45 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 45 + 7 4x = 45 + 7 Combine like terms: 45 + 7 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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