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Simplifying -5x + 15 = -8x + 21 Reorder the terms: 15 + -5x = -8x + 21 Reorder the terms: 15 + -5x = 21 + -8x Solving 15 + -5x = 21 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 15 + -5x + 8x = 21 + -8x + 8x Combine like terms: -5x + 8x = 3x 15 + 3x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 3x = 21 + 0 15 + 3x = 21 Add '-15' to each side of the equation. 15 + -15 + 3x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 21 + -15 3x = 21 + -15 Combine like terms: 21 + -15 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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