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Simplifying -5(1 + -3x) + -4x = 2(-7 + -3x) + -8 (1 * -5 + -3x * -5) + -4x = 2(-7 + -3x) + -8 (-5 + 15x) + -4x = 2(-7 + -3x) + -8 Combine like terms: 15x + -4x = 11x -5 + 11x = 2(-7 + -3x) + -8 -5 + 11x = (-7 * 2 + -3x * 2) + -8 -5 + 11x = (-14 + -6x) + -8 Reorder the terms: -5 + 11x = -14 + -8 + -6x Combine like terms: -14 + -8 = -22 -5 + 11x = -22 + -6x Solving -5 + 11x = -22 + -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. -5 + 11x + 6x = -22 + -6x + 6x Combine like terms: 11x + 6x = 17x -5 + 17x = -22 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 17x = -22 + 0 -5 + 17x = -22 Add '5' to each side of the equation. -5 + 5 + 17x = -22 + 5 Combine like terms: -5 + 5 = 0 0 + 17x = -22 + 5 17x = -22 + 5 Combine like terms: -22 + 5 = -17 17x = -17 Divide each side by '17'. x = -1 Simplifying x = -1
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