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Simplifying 7x + -3 + -4x + -1x + 12x + -9x = -4x + 7 + -5x + -3 + 13x Reorder the terms: -3 + 7x + -4x + -1x + 12x + -9x = -4x + 7 + -5x + -3 + 13x Combine like terms: 7x + -4x = 3x -3 + 3x + -1x + 12x + -9x = -4x + 7 + -5x + -3 + 13x Combine like terms: 3x + -1x = 2x -3 + 2x + 12x + -9x = -4x + 7 + -5x + -3 + 13x Combine like terms: 2x + 12x = 14x -3 + 14x + -9x = -4x + 7 + -5x + -3 + 13x Combine like terms: 14x + -9x = 5x -3 + 5x = -4x + 7 + -5x + -3 + 13x Reorder the terms: -3 + 5x = 7 + -3 + -4x + -5x + 13x Combine like terms: 7 + -3 = 4 -3 + 5x = 4 + -4x + -5x + 13x Combine like terms: -4x + -5x = -9x -3 + 5x = 4 + -9x + 13x Combine like terms: -9x + 13x = 4x -3 + 5x = 4 + 4x Solving -3 + 5x = 4 + 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. -3 + 5x + -4x = 4 + 4x + -4x Combine like terms: 5x + -4x = 1x -3 + 1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 1x = 4 + 0 -3 + 1x = 4 Add '3' to each side of the equation. -3 + 3 + 1x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 4 + 3 1x = 4 + 3 Combine like terms: 4 + 3 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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