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Simplifying -2(2x + 4) = -5(3x + 6) Reorder the terms: -2(4 + 2x) = -5(3x + 6) (4 * -2 + 2x * -2) = -5(3x + 6) (-8 + -4x) = -5(3x + 6) Reorder the terms: -8 + -4x = -5(6 + 3x) -8 + -4x = (6 * -5 + 3x * -5) -8 + -4x = (-30 + -15x) Solving -8 + -4x = -30 + -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. -8 + -4x + 15x = -30 + -15x + 15x Combine like terms: -4x + 15x = 11x -8 + 11x = -30 + -15x + 15x Combine like terms: -15x + 15x = 0 -8 + 11x = -30 + 0 -8 + 11x = -30 Add '8' to each side of the equation. -8 + 8 + 11x = -30 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = -30 + 8 11x = -30 + 8 Combine like terms: -30 + 8 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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