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Simplifying -4x + 6(2x + -7) = -32 + -2x Reorder the terms: -4x + 6(-7 + 2x) = -32 + -2x -4x + (-7 * 6 + 2x * 6) = -32 + -2x -4x + (-42 + 12x) = -32 + -2x Reorder the terms: -42 + -4x + 12x = -32 + -2x Combine like terms: -4x + 12x = 8x -42 + 8x = -32 + -2x Solving -42 + 8x = -32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -42 + 8x + 2x = -32 + -2x + 2x Combine like terms: 8x + 2x = 10x -42 + 10x = -32 + -2x + 2x Combine like terms: -2x + 2x = 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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