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Simplifying 4x + -12 + 9x = 5x + -15 + -13 Reorder the terms: -12 + 4x + 9x = 5x + -15 + -13 Combine like terms: 4x + 9x = 13x -12 + 13x = 5x + -15 + -13 Reorder the terms: -12 + 13x = -15 + -13 + 5x Combine like terms: -15 + -13 = -28 -12 + 13x = -28 + 5x Solving -12 + 13x = -28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 13x + -5x = -28 + 5x + -5x Combine like terms: 13x + -5x = 8x -12 + 8x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 8x = -28 + 0 -12 + 8x = -28 Add '12' to each side of the equation. -12 + 12 + 8x = -28 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -28 + 12 8x = -28 + 12 Combine like terms: -28 + 12 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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