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Simplifying 4 + 14x + -3 = 9x + 61 + -7x Reorder the terms: 4 + -3 + 14x = 9x + 61 + -7x Combine like terms: 4 + -3 = 1 1 + 14x = 9x + 61 + -7x Reorder the terms: 1 + 14x = 61 + 9x + -7x Combine like terms: 9x + -7x = 2x 1 + 14x = 61 + 2x Solving 1 + 14x = 61 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 14x + -2x = 61 + 2x + -2x Combine like terms: 14x + -2x = 12x 1 + 12x = 61 + 2x + -2x Combine like terms: 2x + -2x = 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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