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Simplifying 15 = x + 2x + 4x + 1 Reorder the terms: 15 = 1 + x + 2x + 4x Combine like terms: x + 2x = 3x 15 = 1 + 3x + 4x Combine like terms: 3x + 4x = 7x 15 = 1 + 7x Solving 15 = 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 + -7x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -7x = 1 + 0 15 + -7x = 1 Add '-15' to each side of the equation. 15 + -15 + -7x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 1 + -15 -7x = 1 + -15 Combine like terms: 1 + -15 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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