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Simplifying 7 + x + -13 = 3x + 21 + -5x Reorder the terms: 7 + -13 + x = 3x + 21 + -5x Combine like terms: 7 + -13 = -6 -6 + x = 3x + 21 + -5x Reorder the terms: -6 + x = 21 + 3x + -5x Combine like terms: 3x + -5x = -2x -6 + x = 21 + -2x Solving -6 + x = 21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + x + 2x = 21 + -2x + 2x Combine like terms: x + 2x = 3x -6 + 3x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 3x = 21 + 0 -6 + 3x = 21 Add '6' to each side of the equation. -6 + 6 + 3x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 21 + 6 3x = 21 + 6 Combine like terms: 21 + 6 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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