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Simplifying 7 + -5(x + 4) = -4(x + 1) + (x + -7) Reorder the terms: 7 + -5(4 + x) = -4(x + 1) + (x + -7) 7 + (4 * -5 + x * -5) = -4(x + 1) + (x + -7) 7 + (-20 + -5x) = -4(x + 1) + (x + -7) Combine like terms: 7 + -20 = -13 -13 + -5x = -4(x + 1) + (x + -7) Reorder the terms: -13 + -5x = -4(1 + x) + (x + -7) -13 + -5x = (1 * -4 + x * -4) + (x + -7) -13 + -5x = (-4 + -4x) + (x + -7) Reorder the terms: -13 + -5x = -4 + -4x + (-7 + x) Remove parenthesis around (-7 + x) -13 + -5x = -4 + -4x + -7 + x Reorder the terms: -13 + -5x = -4 + -7 + -4x + x Combine like terms: -4 + -7 = -11 -13 + -5x = -11 + -4x + x Combine like terms: -4x + x = -3x -13 + -5x = -11 + -3x Solving -13 + -5x = -11 + -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. -13 + -5x + 3x = -11 + -3x + 3x Combine like terms: -5x + 3x = -2x -13 + -2x = -11 + -3x + 3x Combine like terms: -3x + 3x = 0 -13 + -2x = -11 + 0 -13 + -2x = -11 Add '13' to each side of the equation. -13 + 13 + -2x = -11 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -11 + 13 -2x = -11 + 13 Combine like terms: -11 + 13 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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