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Simplifying -5(3x + 2) = -3(x + 2) Reorder the terms: -5(2 + 3x) = -3(x + 2) (2 * -5 + 3x * -5) = -3(x + 2) (-10 + -15x) = -3(x + 2) Reorder the terms: -10 + -15x = -3(2 + x) -10 + -15x = (2 * -3 + x * -3) -10 + -15x = (-6 + -3x) Solving -10 + -15x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + -15x + 3x = -6 + -3x + 3x Combine like terms: -15x + 3x = -12x -10 + -12x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -12x = -6 + 0 -10 + -12x = -6 Add '10' to each side of the equation. -10 + 10 + -12x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -12x = -6 + 10 -12x = -6 + 10 Combine like terms: -6 + 10 = 4 -12x = 4 Divide each side by '-12'. x = -0.3333333333 Simplifying x = -0.3333333333
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