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Simplifying -1(7 + -9x) + 2 = 4(3x + -5) (7 * -1 + -9x * -1) + 2 = 4(3x + -5) (-7 + 9x) + 2 = 4(3x + -5) Reorder the terms: -7 + 2 + 9x = 4(3x + -5) Combine like terms: -7 + 2 = -5 -5 + 9x = 4(3x + -5) Reorder the terms: -5 + 9x = 4(-5 + 3x) -5 + 9x = (-5 * 4 + 3x * 4) -5 + 9x = (-20 + 12x) Solving -5 + 9x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 9x + -12x = -20 + 12x + -12x Combine like terms: 9x + -12x = -3x -5 + -3x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -3x = -20 + 0 -5 + -3x = -20 Add '5' to each side of the equation. -5 + 5 + -3x = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -20 + 5 -3x = -20 + 5 Combine like terms: -20 + 5 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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