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Simplifying 12(x + -13) = 13(x + -12) Reorder the terms: 12(-13 + x) = 13(x + -12) (-13 * 12 + x * 12) = 13(x + -12) (-156 + 12x) = 13(x + -12) Reorder the terms: -156 + 12x = 13(-12 + x) -156 + 12x = (-12 * 13 + x * 13) -156 + 12x = (-156 + 13x) Add '156' to each side of the equation. -156 + 156 + 12x = -156 + 156 + 13x Combine like terms: -156 + 156 = 0 0 + 12x = -156 + 156 + 13x 12x = -156 + 156 + 13x Combine like terms: -156 + 156 = 0 12x = 0 + 13x 12x = 13x Solving 12x = 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. 12x + -13x = 13x + -13x Combine like terms: 12x + -13x = -1x -1x = 13x + -13x Combine like terms: 13x + -13x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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