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Simplifying -2(5 + -4x) = 6(x + -3) + 6 (5 * -2 + -4x * -2) = 6(x + -3) + 6 (-10 + 8x) = 6(x + -3) + 6 Reorder the terms: -10 + 8x = 6(-3 + x) + 6 -10 + 8x = (-3 * 6 + x * 6) + 6 -10 + 8x = (-18 + 6x) + 6 Reorder the terms: -10 + 8x = -18 + 6 + 6x Combine like terms: -18 + 6 = -12 -10 + 8x = -12 + 6x Solving -10 + 8x = -12 + 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 + 8x + -6x = -12 + 6x + -6x Combine like terms: 8x + -6x = 2x -10 + 2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 2x = -12 + 0 -10 + 2x = -12 Add '10' to each side of the equation. -10 + 10 + 2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -12 + 10 2x = -12 + 10 Combine like terms: -12 + 10 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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