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Simplifying 5x + 2 = -6 + 3x + 24 Reorder the terms: 2 + 5x = -6 + 3x + 24 Reorder the terms: 2 + 5x = -6 + 24 + 3x Combine like terms: -6 + 24 = 18 2 + 5x = 18 + 3x Solving 2 + 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. 2 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x 2 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 2x = 18 + 0 2 + 2x = 18 Add '-2' to each side of the equation. 2 + -2 + 2x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 18 + -2 2x = 18 + -2 Combine like terms: 18 + -2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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