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Simplifying 13x + 9 + -5 = 12x + -3 Reorder the terms: 9 + -5 + 13x = 12x + -3 Combine like terms: 9 + -5 = 4 4 + 13x = 12x + -3 Reorder the terms: 4 + 13x = -3 + 12x Solving 4 + 13x = -3 + 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. 4 + 13x + -12x = -3 + 12x + -12x Combine like terms: 13x + -12x = 1x 4 + 1x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + 1x = -3 + 0 4 + 1x = -3 Add '-4' to each side of the equation. 4 + -4 + 1x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -3 + -4 1x = -3 + -4 Combine like terms: -3 + -4 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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