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Simplifying 6x + 4x + -10 + -1(6x + 1) = 1 Reorder the terms: 6x + 4x + -10 + -1(1 + 6x) = 1 6x + 4x + -10 + (1 * -1 + 6x * -1) = 1 6x + 4x + -10 + (-1 + -6x) = 1 Reorder the terms: -10 + -1 + 6x + 4x + -6x = 1 Combine like terms: -10 + -1 = -11 -11 + 6x + 4x + -6x = 1 Combine like terms: 6x + 4x = 10x -11 + 10x + -6x = 1 Combine like terms: 10x + -6x = 4x -11 + 4x = 1 Solving -11 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 4x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 1 + 11 4x = 1 + 11 Combine like terms: 1 + 11 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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