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Simplifying 10x + 25 + -7x = 2(3x + 5) Reorder the terms: 25 + 10x + -7x = 2(3x + 5) Combine like terms: 10x + -7x = 3x 25 + 3x = 2(3x + 5) Reorder the terms: 25 + 3x = 2(5 + 3x) 25 + 3x = (5 * 2 + 3x * 2) 25 + 3x = (10 + 6x) Solving 25 + 3x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + 3x + -6x = 10 + 6x + -6x Combine like terms: 3x + -6x = -3x 25 + -3x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -3x = 10 + 0 25 + -3x = 10 Add '-25' to each side of the equation. 25 + -25 + -3x = 10 + -25 Combine like terms: 25 + -25 = 0 0 + -3x = 10 + -25 -3x = 10 + -25 Combine like terms: 10 + -25 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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