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Simplifying 5 + 15x + -2 = 6x + 75 + -3x Reorder the terms: 5 + -2 + 15x = 6x + 75 + -3x Combine like terms: 5 + -2 = 3 3 + 15x = 6x + 75 + -3x Reorder the terms: 3 + 15x = 75 + 6x + -3x Combine like terms: 6x + -3x = 3x 3 + 15x = 75 + 3x Solving 3 + 15x = 75 + 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. 3 + 15x + -3x = 75 + 3x + -3x Combine like terms: 15x + -3x = 12x 3 + 12x = 75 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 12x = 75 + 0 3 + 12x = 75 Add '-3' to each side of the equation. 3 + -3 + 12x = 75 + -3 Combine like terms: 3 + -3 = 0 0 + 12x = 75 + -3 12x = 75 + -3 Combine like terms: 75 + -3 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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