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Simplifying -2x + 4(-2x + -7) = -32 + -6x Reorder the terms: -2x + 4(-7 + -2x) = -32 + -6x -2x + (-7 * 4 + -2x * 4) = -32 + -6x -2x + (-28 + -8x) = -32 + -6x Reorder the terms: -28 + -2x + -8x = -32 + -6x Combine like terms: -2x + -8x = -10x -28 + -10x = -32 + -6x Solving -28 + -10x = -32 + -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. -28 + -10x + 6x = -32 + -6x + 6x Combine like terms: -10x + 6x = -4x -28 + -4x = -32 + -6x + 6x Combine like terms: -6x + 6x = 0 -28 + -4x = -32 + 0 -28 + -4x = -32 Add '28' to each side of the equation. -28 + 28 + -4x = -32 + 28 Combine like terms: -28 + 28 = 0 0 + -4x = -32 + 28 -4x = -32 + 28 Combine like terms: -32 + 28 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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