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Simplifying (-5x + 4) + -5 = 4(x + -7) Reorder the terms: (4 + -5x) + -5 = 4(x + -7) Remove parenthesis around (4 + -5x) 4 + -5x + -5 = 4(x + -7) Reorder the terms: 4 + -5 + -5x = 4(x + -7) Combine like terms: 4 + -5 = -1 -1 + -5x = 4(x + -7) Reorder the terms: -1 + -5x = 4(-7 + x) -1 + -5x = (-7 * 4 + x * 4) -1 + -5x = (-28 + 4x) Solving -1 + -5x = -28 + 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. -1 + -5x + -4x = -28 + 4x + -4x Combine like terms: -5x + -4x = -9x -1 + -9x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + -9x = -28 + 0 -1 + -9x = -28 Add '1' to each side of the equation. -1 + 1 + -9x = -28 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = -28 + 1 -9x = -28 + 1 Combine like terms: -28 + 1 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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