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Simplifying 3x + -1(x + 6) = x + 1 Reorder the terms: 3x + -1(6 + x) = x + 1 3x + (6 * -1 + x * -1) = x + 1 3x + (-6 + -1x) = x + 1 Reorder the terms: -6 + 3x + -1x = x + 1 Combine like terms: 3x + -1x = 2x -6 + 2x = x + 1 Reorder the terms: -6 + 2x = 1 + x Solving -6 + 2x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 2x + -1x = 1 + x + -1x Combine like terms: 2x + -1x = 1x -6 + 1x = 1 + x + -1x Combine like terms: x + -1x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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