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Simplifying 5x + 8 + -7 = 3x + -4 + 11 Reorder the terms: 8 + -7 + 5x = 3x + -4 + 11 Combine like terms: 8 + -7 = 1 1 + 5x = 3x + -4 + 11 Reorder the terms: 1 + 5x = -4 + 11 + 3x Combine like terms: -4 + 11 = 7 1 + 5x = 7 + 3x Solving 1 + 5x = 7 + 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 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x 1 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 2x = 7 + 0 1 + 2x = 7 Add '-1' to each side of the equation. 1 + -1 + 2x = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 7 + -1 2x = 7 + -1 Combine like terms: 7 + -1 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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