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Simplifying 5x + 12 = 8x + 9 Reorder the terms: 12 + 5x = 8x + 9 Reorder the terms: 12 + 5x = 9 + 8x Solving 12 + 5x = 9 + 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. 12 + 5x + -8x = 9 + 8x + -8x Combine like terms: 5x + -8x = -3x 12 + -3x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -3x = 9 + 0 12 + -3x = 9 Add '-12' to each side of the equation. 12 + -12 + -3x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 9 + -12 -3x = 9 + -12 Combine like terms: 9 + -12 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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