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Simplifying 12x + -4 = 13x + -9 Reorder the terms: -4 + 12x = 13x + -9 Reorder the terms: -4 + 12x = -9 + 13x Solving -4 + 12x = -9 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -4 + 12x + -13x = -9 + 13x + -13x Combine like terms: 12x + -13x = -1x -4 + -1x = -9 + 13x + -13x Combine like terms: 13x + -13x = 0 -4 + -1x = -9 + 0 -4 + -1x = -9 Add '4' to each side of the equation. -4 + 4 + -1x = -9 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -9 + 4 -1x = -9 + 4 Combine like terms: -9 + 4 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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