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Simplifying -5(7 + 2x) = -5(x + 3) (7 * -5 + 2x * -5) = -5(x + 3) (-35 + -10x) = -5(x + 3) Reorder the terms: -35 + -10x = -5(3 + x) -35 + -10x = (3 * -5 + x * -5) -35 + -10x = (-15 + -5x) Solving -35 + -10x = -15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -35 + -10x + 5x = -15 + -5x + 5x Combine like terms: -10x + 5x = -5x -35 + -5x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 -35 + -5x = -15 + 0 -35 + -5x = -15 Add '35' to each side of the equation. -35 + 35 + -5x = -15 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = -15 + 35 -5x = -15 + 35 Combine like terms: -15 + 35 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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