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Simplifying 5(x + 5) + x = 2x + 42 Reorder the terms: 5(5 + x) + x = 2x + 42 (5 * 5 + x * 5) + x = 2x + 42 (25 + 5x) + x = 2x + 42 Combine like terms: 5x + x = 6x 25 + 6x = 2x + 42 Reorder the terms: 25 + 6x = 42 + 2x Solving 25 + 6x = 42 + 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. 25 + 6x + -2x = 42 + 2x + -2x Combine like terms: 6x + -2x = 4x 25 + 4x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 4x = 42 + 0 25 + 4x = 42 Add '-25' to each side of the equation. 25 + -25 + 4x = 42 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 42 + -25 4x = 42 + -25 Combine like terms: 42 + -25 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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