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Simplifying 5x + -2x + 3 = -7x + 81 + -3x Reorder the terms: 3 + 5x + -2x = -7x + 81 + -3x Combine like terms: 5x + -2x = 3x 3 + 3x = -7x + 81 + -3x Reorder the terms: 3 + 3x = 81 + -7x + -3x Combine like terms: -7x + -3x = -10x 3 + 3x = 81 + -10x Solving 3 + 3x = 81 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + 3x + 10x = 81 + -10x + 10x Combine like terms: 3x + 10x = 13x 3 + 13x = 81 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 13x = 81 + 0 3 + 13x = 81 Add '-3' to each side of the equation. 3 + -3 + 13x = 81 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 81 + -3 13x = 81 + -3 Combine like terms: 81 + -3 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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