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Simplifying -4(5 + 3x) = -30 + -7x (5 * -4 + 3x * -4) = -30 + -7x (-20 + -12x) = -30 + -7x Solving -20 + -12x = -30 + -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. -20 + -12x + 7x = -30 + -7x + 7x Combine like terms: -12x + 7x = -5x -20 + -5x = -30 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + -5x = -30 + 0 -20 + -5x = -30 Add '20' to each side of the equation. -20 + 20 + -5x = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -5x = -30 + 20 -5x = -30 + 20 Combine like terms: -30 + 20 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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