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Simplifying 3x + -15 + 5x + 1 = 7x + 16 Reorder the terms: -15 + 1 + 3x + 5x = 7x + 16 Combine like terms: -15 + 1 = -14 -14 + 3x + 5x = 7x + 16 Combine like terms: 3x + 5x = 8x -14 + 8x = 7x + 16 Reorder the terms: -14 + 8x = 16 + 7x Solving -14 + 8x = 16 + 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. -14 + 8x + -7x = 16 + 7x + -7x Combine like terms: 8x + -7x = 1x -14 + 1x = 16 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 1x = 16 + 0 -14 + 1x = 16 Add '14' to each side of the equation. -14 + 14 + 1x = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 16 + 14 1x = 16 + 14 Combine like terms: 16 + 14 = 30 1x = 30 Divide each side by '1'. x = 30 Simplifying x = 30
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