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Simplifying -4(x + -7) + -5(12 + -1x) = 0 Reorder the terms: -4(-7 + x) + -5(12 + -1x) = 0 (-7 * -4 + x * -4) + -5(12 + -1x) = 0 (28 + -4x) + -5(12 + -1x) = 0 28 + -4x + (12 * -5 + -1x * -5) = 0 28 + -4x + (-60 + 5x) = 0 Reorder the terms: 28 + -60 + -4x + 5x = 0 Combine like terms: 28 + -60 = -32 -32 + -4x + 5x = 0 Combine like terms: -4x + 5x = 1x -32 + 1x = 0 Solving -32 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = 0 + 32 1x = 0 + 32 Combine like terms: 0 + 32 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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