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Simplifying 12x + 4 = 13x + -4 Reorder the terms: 4 + 12x = 13x + -4 Reorder the terms: 4 + 12x = -4 + 13x Solving 4 + 12x = -4 + 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 = -4 + 13x + -13x Combine like terms: 12x + -13x = -1x 4 + -1x = -4 + 13x + -13x Combine like terms: 13x + -13x = 0 4 + -1x = -4 + 0 4 + -1x = -4 Add '-4' to each side of the equation. 4 + -4 + -1x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -4 + -4 -1x = -4 + -4 Combine like terms: -4 + -4 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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