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Simplifying -6(x + 6) + -10 = -2(5 + 4x) Reorder the terms: -6(6 + x) + -10 = -2(5 + 4x) (6 * -6 + x * -6) + -10 = -2(5 + 4x) (-36 + -6x) + -10 = -2(5 + 4x) Reorder the terms: -36 + -10 + -6x = -2(5 + 4x) Combine like terms: -36 + -10 = -46 -46 + -6x = -2(5 + 4x) -46 + -6x = (5 * -2 + 4x * -2) -46 + -6x = (-10 + -8x) Solving -46 + -6x = -10 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -46 + -6x + 8x = -10 + -8x + 8x Combine like terms: -6x + 8x = 2x -46 + 2x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -46 + 2x = -10 + 0 -46 + 2x = -10 Add '46' to each side of the equation. -46 + 46 + 2x = -10 + 46 Combine like terms: -46 + 46 = 0 0 + 2x = -10 + 46 2x = -10 + 46 Combine like terms: -10 + 46 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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