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Simplifying x + 8 + -21 = 15 + -6x Reorder the terms: 8 + -21 + x = 15 + -6x Combine like terms: 8 + -21 = -13 -13 + x = 15 + -6x Solving -13 + x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -13 + x + 6x = 15 + -6x + 6x Combine like terms: x + 6x = 7x -13 + 7x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 7x = 15 + 0 -13 + 7x = 15 Add '13' to each side of the equation. -13 + 13 + 7x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 15 + 13 7x = 15 + 13 Combine like terms: 15 + 13 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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