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Simplifying -7(X + 1) + -4 = 6(X + -5) Reorder the terms: -7(1 + X) + -4 = 6(X + -5) (1 * -7 + X * -7) + -4 = 6(X + -5) (-7 + -7X) + -4 = 6(X + -5) Reorder the terms: -7 + -4 + -7X = 6(X + -5) Combine like terms: -7 + -4 = -11 -11 + -7X = 6(X + -5) Reorder the terms: -11 + -7X = 6(-5 + X) -11 + -7X = (-5 * 6 + X * 6) -11 + -7X = (-30 + 6X) Solving -11 + -7X = -30 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -11 + -7X + -6X = -30 + 6X + -6X Combine like terms: -7X + -6X = -13X -11 + -13X = -30 + 6X + -6X Combine like terms: 6X + -6X = 0 -11 + -13X = -30 + 0 -11 + -13X = -30 Add '11' to each side of the equation. -11 + 11 + -13X = -30 + 11 Combine like terms: -11 + 11 = 0 0 + -13X = -30 + 11 -13X = -30 + 11 Combine like terms: -30 + 11 = -19 -13X = -19 Divide each side by '-13'. X = 1.461538462 Simplifying X = 1.461538462
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