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Simplifying 3 + -1(x + 7) = 2x + 1 Reorder the terms: 3 + -1(7 + x) = 2x + 1 3 + (7 * -1 + x * -1) = 2x + 1 3 + (-7 + -1x) = 2x + 1 Combine like terms: 3 + -7 = -4 -4 + -1x = 2x + 1 Reorder the terms: -4 + -1x = 1 + 2x Solving -4 + -1x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -1x + -2x = 1 + 2x + -2x Combine like terms: -1x + -2x = -3x -4 + -3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -3x = 1 + 0 -4 + -3x = 1 Add '4' to each side of the equation. -4 + 4 + -3x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 1 + 4 -3x = 1 + 4 Combine like terms: 1 + 4 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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