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Simplifying x + 1 + -1(x + -5) = 3x + -7 Reorder the terms: x + 1 + -1(-5 + x) = 3x + -7 x + 1 + (-5 * -1 + x * -1) = 3x + -7 x + 1 + (5 + -1x) = 3x + -7 Reorder the terms: 1 + 5 + x + -1x = 3x + -7 Combine like terms: 1 + 5 = 6 6 + x + -1x = 3x + -7 Combine like terms: x + -1x = 0 6 + 0 = 3x + -7 6 = 3x + -7 Reorder the terms: 6 = -7 + 3x Solving 6 = -7 + 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. 6 + -3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -3x = -7 + 0 6 + -3x = -7 Add '-6' to each side of the equation. 6 + -6 + -3x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -7 + -6 -3x = -7 + -6 Combine like terms: -7 + -6 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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