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Simplifying 5x + -9x + -13 = 4x + 7 + -12 Reorder the terms: -13 + 5x + -9x = 4x + 7 + -12 Combine like terms: 5x + -9x = -4x -13 + -4x = 4x + 7 + -12 Reorder the terms: -13 + -4x = 7 + -12 + 4x Combine like terms: 7 + -12 = -5 -13 + -4x = -5 + 4x Solving -13 + -4x = -5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + -4x + -4x = -5 + 4x + -4x Combine like terms: -4x + -4x = -8x -13 + -8x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -8x = -5 + 0 -13 + -8x = -5 Add '13' to each side of the equation. -13 + 13 + -8x = -5 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = -5 + 13 -8x = -5 + 13 Combine like terms: -5 + 13 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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