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Simplifying x + -5 = -4(3x + -2) Reorder the terms: -5 + x = -4(3x + -2) Reorder the terms: -5 + x = -4(-2 + 3x) -5 + x = (-2 * -4 + 3x * -4) -5 + x = (8 + -12x) Solving -5 + x = 8 + -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 + x + 12x = 8 + -12x + 12x Combine like terms: x + 12x = 13x -5 + 13x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 13x = 8 + 0 -5 + 13x = 8 Add '5' to each side of the equation. -5 + 5 + 13x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 8 + 5 13x = 8 + 5 Combine like terms: 8 + 5 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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