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Simplifying 5x + -13 = 8 + -12x Reorder the terms: -13 + 5x = 8 + -12x Solving -13 + 5x = 8 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -13 + 5x + 12x = 8 + -12x + 12x Combine like terms: 5x + 12x = 17x -13 + 17x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -13 + 17x = 8 + 0 -13 + 17x = 8 Add '13' to each side of the equation. -13 + 13 + 17x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 17x = 8 + 13 17x = 8 + 13 Combine like terms: 8 + 13 = 21 17x = 21 Divide each side by '17'. x = 1.235294118 Simplifying x = 1.235294118
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