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Simplifying -9x + 7 + -12x = 4x + -13 + -5x Reorder the terms: 7 + -9x + -12x = 4x + -13 + -5x Combine like terms: -9x + -12x = -21x 7 + -21x = 4x + -13 + -5x Reorder the terms: 7 + -21x = -13 + 4x + -5x Combine like terms: 4x + -5x = -1x 7 + -21x = -13 + -1x Solving 7 + -21x = -13 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7 + -21x + x = -13 + -1x + x Combine like terms: -21x + x = -20x 7 + -20x = -13 + -1x + x Combine like terms: -1x + x = 0 7 + -20x = -13 + 0 7 + -20x = -13 Add '-7' to each side of the equation. 7 + -7 + -20x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -20x = -13 + -7 -20x = -13 + -7 Combine like terms: -13 + -7 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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