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Simplifying -38 + 3x = -5(-3x + -2) Reorder the terms: -38 + 3x = -5(-2 + -3x) -38 + 3x = (-2 * -5 + -3x * -5) -38 + 3x = (10 + 15x) Solving -38 + 3x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -38 + 3x + -15x = 10 + 15x + -15x Combine like terms: 3x + -15x = -12x -38 + -12x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 -38 + -12x = 10 + 0 -38 + -12x = 10 Add '38' to each side of the equation. -38 + 38 + -12x = 10 + 38 Combine like terms: -38 + 38 = 0 0 + -12x = 10 + 38 -12x = 10 + 38 Combine like terms: 10 + 38 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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