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Simplifying 12 + x = 5 + -13x Solving 12 + x = 5 + -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. 12 + x + 13x = 5 + -13x + 13x Combine like terms: x + 13x = 14x 12 + 14x = 5 + -13x + 13x Combine like terms: -13x + 13x = 0 12 + 14x = 5 + 0 12 + 14x = 5 Add '-12' to each side of the equation. 12 + -12 + 14x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 5 + -12 14x = 5 + -12 Combine like terms: 5 + -12 = -7 14x = -7 Divide each side by '14'. x = -0.5 Simplifying x = -0.5
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