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Simplifying -2x + -46 = -6(x + 7) Reorder the terms: -46 + -2x = -6(x + 7) Reorder the terms: -46 + -2x = -6(7 + x) -46 + -2x = (7 * -6 + x * -6) -46 + -2x = (-42 + -6x) Solving -46 + -2x = -42 + -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 + -2x + 6x = -42 + -6x + 6x Combine like terms: -2x + 6x = 4x -46 + 4x = -42 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + 4x = -42 + 0 -46 + 4x = -42 Add '46' to each side of the equation. -46 + 46 + 4x = -42 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = -42 + 46 4x = -42 + 46 Combine like terms: -42 + 46 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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