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Simplifying 5x + 2 = 58 + -3x Reorder the terms: 2 + 5x = 58 + -3x Solving 2 + 5x = 58 + -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 = 58 + -3x + 3x Combine like terms: 5x + 3x = 8x 2 + 8x = 58 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 8x = 58 + 0 2 + 8x = 58 Add '-2' to each side of the equation. 2 + -2 + 8x = 58 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 58 + -2 8x = 58 + -2 Combine like terms: 58 + -2 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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