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Simplifying -5(2 + x) = -2(3x + 4) (2 * -5 + x * -5) = -2(3x + 4) (-10 + -5x) = -2(3x + 4) Reorder the terms: -10 + -5x = -2(4 + 3x) -10 + -5x = (4 * -2 + 3x * -2) -10 + -5x = (-8 + -6x) Solving -10 + -5x = -8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -10 + -5x + 6x = -8 + -6x + 6x Combine like terms: -5x + 6x = 1x -10 + 1x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 1x = -8 + 0 -10 + 1x = -8 Add '10' to each side of the equation. -10 + 10 + 1x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -8 + 10 1x = -8 + 10 Combine like terms: -8 + 10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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