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Simplifying 12x + -13 = 8x + 19 Reorder the terms: -13 + 12x = 8x + 19 Reorder the terms: -13 + 12x = 19 + 8x Solving -13 + 12x = 19 + 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. -13 + 12x + -8x = 19 + 8x + -8x Combine like terms: 12x + -8x = 4x -13 + 4x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + 4x = 19 + 0 -13 + 4x = 19 Add '13' to each side of the equation. -13 + 13 + 4x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 19 + 13 4x = 19 + 13 Combine like terms: 19 + 13 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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