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Simplifying 5x + 13 = 12x + -22 Reorder the terms: 13 + 5x = 12x + -22 Reorder the terms: 13 + 5x = -22 + 12x Solving 13 + 5x = -22 + 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 = -22 + 12x + -12x Combine like terms: 5x + -12x = -7x 13 + -7x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 13 + -7x = -22 + 0 13 + -7x = -22 Add '-13' to each side of the equation. 13 + -13 + -7x = -22 + -13 Combine like terms: 13 + -13 = 0 0 + -7x = -22 + -13 -7x = -22 + -13 Combine like terms: -22 + -13 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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