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Simplifying 3x + 2(x + 5) = x + 30 Reorder the terms: 3x + 2(5 + x) = x + 30 3x + (5 * 2 + x * 2) = x + 30 3x + (10 + 2x) = x + 30 Reorder the terms: 10 + 3x + 2x = x + 30 Combine like terms: 3x + 2x = 5x 10 + 5x = x + 30 Reorder the terms: 10 + 5x = 30 + x Solving 10 + 5x = 30 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 5x + -1x = 30 + x + -1x Combine like terms: 5x + -1x = 4x 10 + 4x = 30 + x + -1x Combine like terms: x + -1x = 0 10 + 4x = 30 + 0 10 + 4x = 30 Add '-10' to each side of the equation. 10 + -10 + 4x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 30 + -10 4x = 30 + -10 Combine like terms: 30 + -10 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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