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Simplifying 2x + 5 + 3x + 10 = 7x + 1 Reorder the terms: 5 + 10 + 2x + 3x = 7x + 1 Combine like terms: 5 + 10 = 15 15 + 2x + 3x = 7x + 1 Combine like terms: 2x + 3x = 5x 15 + 5x = 7x + 1 Reorder the terms: 15 + 5x = 1 + 7x Solving 15 + 5x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 5x + -7x = 1 + 7x + -7x Combine like terms: 5x + -7x = -2x 15 + -2x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -2x = 1 + 0 15 + -2x = 1 Add '-15' to each side of the equation. 15 + -15 + -2x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 1 + -15 -2x = 1 + -15 Combine like terms: 1 + -15 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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