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Simplifying -4(x + -7) + 6(7x + -7) = -52 Reorder the terms: -4(-7 + x) + 6(7x + -7) = -52 (-7 * -4 + x * -4) + 6(7x + -7) = -52 (28 + -4x) + 6(7x + -7) = -52 Reorder the terms: 28 + -4x + 6(-7 + 7x) = -52 28 + -4x + (-7 * 6 + 7x * 6) = -52 28 + -4x + (-42 + 42x) = -52 Reorder the terms: 28 + -42 + -4x + 42x = -52 Combine like terms: 28 + -42 = -14 -14 + -4x + 42x = -52 Combine like terms: -4x + 42x = 38x -14 + 38x = -52 Solving -14 + 38x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 38x = -52 + 14 Combine like terms: -14 + 14 = 0 0 + 38x = -52 + 14 38x = -52 + 14 Combine like terms: -52 + 14 = -38 38x = -38 Divide each side by '38'. x = -1 Simplifying x = -1
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