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Simplifying 5x + -13 + 12x = 4 + 9x + 3 Reorder the terms: -13 + 5x + 12x = 4 + 9x + 3 Combine like terms: 5x + 12x = 17x -13 + 17x = 4 + 9x + 3 Reorder the terms: -13 + 17x = 4 + 3 + 9x Combine like terms: 4 + 3 = 7 -13 + 17x = 7 + 9x Solving -13 + 17x = 7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 17x + -9x = 7 + 9x + -9x Combine like terms: 17x + -9x = 8x -13 + 8x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + 8x = 7 + 0 -13 + 8x = 7 Add '13' to each side of the equation. -13 + 13 + 8x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 7 + 13 8x = 7 + 13 Combine like terms: 7 + 13 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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