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Simplifying -5(6 + 4x) = -7(x + -5) (6 * -5 + 4x * -5) = -7(x + -5) (-30 + -20x) = -7(x + -5) Reorder the terms: -30 + -20x = -7(-5 + x) -30 + -20x = (-5 * -7 + x * -7) -30 + -20x = (35 + -7x) Solving -30 + -20x = 35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -30 + -20x + 7x = 35 + -7x + 7x Combine like terms: -20x + 7x = -13x -30 + -13x = 35 + -7x + 7x Combine like terms: -7x + 7x = 0 -30 + -13x = 35 + 0 -30 + -13x = 35 Add '30' to each side of the equation. -30 + 30 + -13x = 35 + 30 Combine like terms: -30 + 30 = 0 0 + -13x = 35 + 30 -13x = 35 + 30 Combine like terms: 35 + 30 = 65 -13x = 65 Divide each side by '-13'. x = -5 Simplifying x = -5
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