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Simplifying 5(2x + -4) = -6(x + 6) Reorder the terms: 5(-4 + 2x) = -6(x + 6) (-4 * 5 + 2x * 5) = -6(x + 6) (-20 + 10x) = -6(x + 6) Reorder the terms: -20 + 10x = -6(6 + x) -20 + 10x = (6 * -6 + x * -6) -20 + 10x = (-36 + -6x) Solving -20 + 10x = -36 + -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. -20 + 10x + 6x = -36 + -6x + 6x Combine like terms: 10x + 6x = 16x -20 + 16x = -36 + -6x + 6x Combine like terms: -6x + 6x = 0 -20 + 16x = -36 + 0 -20 + 16x = -36 Add '20' to each side of the equation. -20 + 20 + 16x = -36 + 20 Combine like terms: -20 + 20 = 0 0 + 16x = -36 + 20 16x = -36 + 20 Combine like terms: -36 + 20 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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