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Simplifying 4(x + -7) = 8x + -32 Reorder the terms: 4(-7 + x) = 8x + -32 (-7 * 4 + x * 4) = 8x + -32 (-28 + 4x) = 8x + -32 Reorder the terms: -28 + 4x = -32 + 8x Solving -28 + 4x = -32 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -28 + 4x + -8x = -32 + 8x + -8x Combine like terms: 4x + -8x = -4x -28 + -4x = -32 + 8x + -8x Combine like terms: 8x + -8x = 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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