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Simplifying 3x + 2 = 42 + -2[x + 5] Reorder the terms: 2 + 3x = 42 + -2[x + 5] Reorder the terms: 2 + 3x = 42 + -2[5 + x] 2 + 3x = 42 + [5 * -2 + x * -2] 2 + 3x = 42 + [-10 + -2x] Combine like terms: 42 + -10 = 32 2 + 3x = 32 + -2x Solving 2 + 3x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + 3x + 2x = 32 + -2x + 2x Combine like terms: 3x + 2x = 5x 2 + 5x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 5x = 32 + 0 2 + 5x = 32 Add '-2' to each side of the equation. 2 + -2 + 5x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 32 + -2 5x = 32 + -2 Combine like terms: 32 + -2 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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