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Simplifying 5 + 15x + -4 = 9x + 61 + -6x Reorder the terms: 5 + -4 + 15x = 9x + 61 + -6x Combine like terms: 5 + -4 = 1 1 + 15x = 9x + 61 + -6x Reorder the terms: 1 + 15x = 61 + 9x + -6x Combine like terms: 9x + -6x = 3x 1 + 15x = 61 + 3x Solving 1 + 15x = 61 + 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. 1 + 15x + -3x = 61 + 3x + -3x Combine like terms: 15x + -3x = 12x 1 + 12x = 61 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 12x = 61 + 0 1 + 12x = 61 Add '-1' to each side of the equation. 1 + -1 + 12x = 61 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 61 + -1 12x = 61 + -1 Combine like terms: 61 + -1 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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