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Simplifying 13x + -12 = 2x + 15 + 14x Reorder the terms: -12 + 13x = 2x + 15 + 14x Reorder the terms: -12 + 13x = 15 + 2x + 14x Combine like terms: 2x + 14x = 16x -12 + 13x = 15 + 16x Solving -12 + 13x = 15 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + 13x + -16x = 15 + 16x + -16x Combine like terms: 13x + -16x = -3x -12 + -3x = 15 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + -3x = 15 + 0 -12 + -3x = 15 Add '12' to each side of the equation. -12 + 12 + -3x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = 15 + 12 -3x = 15 + 12 Combine like terms: 15 + 12 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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