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Simplifying -7(x + 1) + 2 = -4(x + -11) + -7 Reorder the terms: -7(1 + x) + 2 = -4(x + -11) + -7 (1 * -7 + x * -7) + 2 = -4(x + -11) + -7 (-7 + -7x) + 2 = -4(x + -11) + -7 Reorder the terms: -7 + 2 + -7x = -4(x + -11) + -7 Combine like terms: -7 + 2 = -5 -5 + -7x = -4(x + -11) + -7 Reorder the terms: -5 + -7x = -4(-11 + x) + -7 -5 + -7x = (-11 * -4 + x * -4) + -7 -5 + -7x = (44 + -4x) + -7 Reorder the terms: -5 + -7x = 44 + -7 + -4x Combine like terms: 44 + -7 = 37 -5 + -7x = 37 + -4x Solving -5 + -7x = 37 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -5 + -7x + 4x = 37 + -4x + 4x Combine like terms: -7x + 4x = -3x -5 + -3x = 37 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + -3x = 37 + 0 -5 + -3x = 37 Add '5' to each side of the equation. -5 + 5 + -3x = 37 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 37 + 5 -3x = 37 + 5 Combine like terms: 37 + 5 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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