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Simplifying 3 + 2x + -1(x + 7) = 3x + -6 Reorder the terms: 3 + 2x + -1(7 + x) = 3x + -6 3 + 2x + (7 * -1 + x * -1) = 3x + -6 3 + 2x + (-7 + -1x) = 3x + -6 Reorder the terms: 3 + -7 + 2x + -1x = 3x + -6 Combine like terms: 3 + -7 = -4 -4 + 2x + -1x = 3x + -6 Combine like terms: 2x + -1x = 1x -4 + 1x = 3x + -6 Reorder the terms: -4 + 1x = -6 + 3x Solving -4 + 1x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 1x + -3x = -6 + 3x + -3x Combine like terms: 1x + -3x = -2x -4 + -2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -2x = -6 + 0 -4 + -2x = -6 Add '4' to each side of the equation. -4 + 4 + -2x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -6 + 4 -2x = -6 + 4 Combine like terms: -6 + 4 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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