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Simplifying 8 + 15x + -4 = 8x + 100 + -5x Reorder the terms: 8 + -4 + 15x = 8x + 100 + -5x Combine like terms: 8 + -4 = 4 4 + 15x = 8x + 100 + -5x Reorder the terms: 4 + 15x = 100 + 8x + -5x Combine like terms: 8x + -5x = 3x 4 + 15x = 100 + 3x Solving 4 + 15x = 100 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 15x + -3x = 100 + 3x + -3x Combine like terms: 15x + -3x = 12x 4 + 12x = 100 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 12x = 100 + 0 4 + 12x = 100 Add '-4' to each side of the equation. 4 + -4 + 12x = 100 + -4 Combine like terms: 4 + -4 = 0 0 + 12x = 100 + -4 12x = 100 + -4 Combine like terms: 100 + -4 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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