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Simplifying (2z + 7)(x + -6) = 6x + 21 Reorder the terms: (7 + 2z)(x + -6) = 6x + 21 Reorder the terms: (7 + 2z)(-6 + x) = 6x + 21 Multiply (7 + 2z) * (-6 + x) (7(-6 + x) + 2z * (-6 + x)) = 6x + 21 ((-6 * 7 + x * 7) + 2z * (-6 + x)) = 6x + 21 ((-42 + 7x) + 2z * (-6 + x)) = 6x + 21 (-42 + 7x + (-6 * 2z + x * 2z)) = 6x + 21 Reorder the terms: (-42 + 7x + (2xz + -12z)) = 6x + 21 (-42 + 7x + (2xz + -12z)) = 6x + 21 (-42 + 7x + 2xz + -12z) = 6x + 21 Reorder the terms: -42 + 7x + 2xz + -12z = 21 + 6x Solving -42 + 7x + 2xz + -12z = 21 + 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. -42 + 7x + 2xz + -6x + -12z = 21 + 6x + -6x Reorder the terms: -42 + 7x + -6x + 2xz + -12z = 21 + 6x + -6x Combine like terms: 7x + -6x = 1x -42 + 1x + 2xz + -12z = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -42 + 1x + 2xz + -12z = 21 + 0 -42 + 1x + 2xz + -12z = 21 Add '42' to each side of the equation. -42 + 1x + 2xz + 42 + -12z = 21 + 42 Reorder the terms: -42 + 42 + 1x + 2xz + -12z = 21 + 42 Combine like terms: -42 + 42 = 0 0 + 1x + 2xz + -12z = 21 + 42 1x + 2xz + -12z = 21 + 42 Combine like terms: 21 + 42 = 63 1x + 2xz + -12z = 63 Add '12z' to each side of the equation. 1x + 2xz + -12z + 12z = 63 + 12z Combine like terms: -12z + 12z = 0 1x + 2xz + 0 = 63 + 12z 1x + 2xz = 63 + 12z Reorder the terms: -63 + 1x + 2xz + -12z = 63 + 12z + -63 + -12z Reorder the terms: -63 + 1x + 2xz + -12z = 63 + -63 + 12z + -12z Combine like terms: 63 + -63 = 0 -63 + 1x + 2xz + -12z = 0 + 12z + -12z -63 + 1x + 2xz + -12z = 12z + -12z Combine like terms: 12z + -12z = 0 -63 + 1x + 2xz + -12z = 0 The solution to this equation could not be determined.
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