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Simplifying -7(X + 1) + -4 = 1(X + -5) Reorder the terms: -7(1 + X) + -4 = 1(X + -5) (1 * -7 + X * -7) + -4 = 1(X + -5) (-7 + -7X) + -4 = 1(X + -5) Reorder the terms: -7 + -4 + -7X = 1(X + -5) Combine like terms: -7 + -4 = -11 -11 + -7X = 1(X + -5) Reorder the terms: -11 + -7X = 1(-5 + X) -11 + -7X = (-5 * 1 + X * 1) -11 + -7X = (-5 + 1X) Solving -11 + -7X = -5 + 1X 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. -11 + -7X + -1X = -5 + 1X + -1X Combine like terms: -7X + -1X = -8X -11 + -8X = -5 + 1X + -1X Combine like terms: 1X + -1X = 0 -11 + -8X = -5 + 0 -11 + -8X = -5 Add '11' to each side of the equation. -11 + 11 + -8X = -5 + 11 Combine like terms: -11 + 11 = 0 0 + -8X = -5 + 11 -8X = -5 + 11 Combine like terms: -5 + 11 = 6 -8X = 6 Divide each side by '-8'. X = -0.75 Simplifying X = -0.75
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