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Simplifying -8x + -46 = -6(x + 5) Reorder the terms: -46 + -8x = -6(x + 5) Reorder the terms: -46 + -8x = -6(5 + x) -46 + -8x = (5 * -6 + x * -6) -46 + -8x = (-30 + -6x) Solving -46 + -8x = -30 + -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. -46 + -8x + 6x = -30 + -6x + 6x Combine like terms: -8x + 6x = -2x -46 + -2x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + -2x = -30 + 0 -46 + -2x = -30 Add '46' to each side of the equation. -46 + 46 + -2x = -30 + 46 Combine like terms: -46 + 46 = 0 0 + -2x = -30 + 46 -2x = -30 + 46 Combine like terms: -30 + 46 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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