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Simplifying 8x + 15 = -4x + 51 Reorder the terms: 15 + 8x = -4x + 51 Reorder the terms: 15 + 8x = 51 + -4x Solving 15 + 8x = 51 + -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. 15 + 8x + 4x = 51 + -4x + 4x Combine like terms: 8x + 4x = 12x 15 + 12x = 51 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 12x = 51 + 0 15 + 12x = 51 Add '-15' to each side of the equation. 15 + -15 + 12x = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 51 + -15 12x = 51 + -15 Combine like terms: 51 + -15 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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