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Simplifying 3x + -13 + 2x = 19 + -4x + -7 Reorder the terms: -13 + 3x + 2x = 19 + -4x + -7 Combine like terms: 3x + 2x = 5x -13 + 5x = 19 + -4x + -7 Reorder the terms: -13 + 5x = 19 + -7 + -4x Combine like terms: 19 + -7 = 12 -13 + 5x = 12 + -4x Solving -13 + 5x = 12 + -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 + 5x + 4x = 12 + -4x + 4x Combine like terms: 5x + 4x = 9x -13 + 9x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + 9x = 12 + 0 -13 + 9x = 12 Add '13' to each side of the equation. -13 + 13 + 9x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 12 + 13 9x = 12 + 13 Combine like terms: 12 + 13 = 25 9x = 25 Divide each side by '9'. x = 2.777777778 Simplifying x = 2.777777778
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