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Simplifying 6x + -1 = 10x + 16 + -6x + -1 Reorder the terms: -1 + 6x = 10x + 16 + -6x + -1 Reorder the terms: -1 + 6x = 16 + -1 + 10x + -6x Combine like terms: 16 + -1 = 15 -1 + 6x = 15 + 10x + -6x Combine like terms: 10x + -6x = 4x -1 + 6x = 15 + 4x Solving -1 + 6x = 15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 6x + -4x = 15 + 4x + -4x Combine like terms: 6x + -4x = 2x -1 + 2x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 2x = 15 + 0 -1 + 2x = 15 Add '1' to each side of the equation. -1 + 1 + 2x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 15 + 1 2x = 15 + 1 Combine like terms: 15 + 1 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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