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Simplifying -8x + 7(2x + -6) = -32 + -4x Reorder the terms: -8x + 7(-6 + 2x) = -32 + -4x -8x + (-6 * 7 + 2x * 7) = -32 + -4x -8x + (-42 + 14x) = -32 + -4x Reorder the terms: -42 + -8x + 14x = -32 + -4x Combine like terms: -8x + 14x = 6x -42 + 6x = -32 + -4x Solving -42 + 6x = -32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -42 + 6x + 4x = -32 + -4x + 4x Combine like terms: 6x + 4x = 10x -42 + 10x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + 10x = -32 + 0 -42 + 10x = -32 Add '42' to each side of the equation. -42 + 42 + 10x = -32 + 42 Combine like terms: -42 + 42 = 0 0 + 10x = -32 + 42 10x = -32 + 42 Combine like terms: -32 + 42 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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