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Simplifying 5x + 6 = -4 + 3x + 22 Reorder the terms: 6 + 5x = -4 + 3x + 22 Reorder the terms: 6 + 5x = -4 + 22 + 3x Combine like terms: -4 + 22 = 18 6 + 5x = 18 + 3x Solving 6 + 5x = 18 + 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. 6 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x 6 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 2x = 18 + 0 6 + 2x = 18 Add '-6' to each side of the equation. 6 + -6 + 2x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 18 + -6 2x = 18 + -6 Combine like terms: 18 + -6 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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