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Simplifying (2x + 25) * 2 = (7x + -61) * 2 Reorder the terms: (25 + 2x) * 2 = (7x + -61) * 2 Reorder the terms for easier multiplication: 2(25 + 2x) = (7x + -61) * 2 (25 * 2 + 2x * 2) = (7x + -61) * 2 (50 + 4x) = (7x + -61) * 2 Reorder the terms: 50 + 4x = (-61 + 7x) * 2 Reorder the terms for easier multiplication: 50 + 4x = 2(-61 + 7x) 50 + 4x = (-61 * 2 + 7x * 2) 50 + 4x = (-122 + 14x) Solving 50 + 4x = -122 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 50 + 4x + -14x = -122 + 14x + -14x Combine like terms: 4x + -14x = -10x 50 + -10x = -122 + 14x + -14x Combine like terms: 14x + -14x = 0 50 + -10x = -122 + 0 50 + -10x = -122 Add '-50' to each side of the equation. 50 + -50 + -10x = -122 + -50 Combine like terms: 50 + -50 = 0 0 + -10x = -122 + -50 -10x = -122 + -50 Combine like terms: -122 + -50 = -172 -10x = -172 Divide each side by '-10'. x = 17.2 Simplifying x = 17.2
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