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Simplifying 7(X + -7) + 29 = 6X + -6 Reorder the terms: 7(-7 + X) + 29 = 6X + -6 (-7 * 7 + X * 7) + 29 = 6X + -6 (-49 + 7X) + 29 = 6X + -6 Reorder the terms: -49 + 29 + 7X = 6X + -6 Combine like terms: -49 + 29 = -20 -20 + 7X = 6X + -6 Reorder the terms: -20 + 7X = -6 + 6X Solving -20 + 7X = -6 + 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. -20 + 7X + -6X = -6 + 6X + -6X Combine like terms: 7X + -6X = 1X -20 + 1X = -6 + 6X + -6X Combine like terms: 6X + -6X = 0 -20 + 1X = -6 + 0 -20 + 1X = -6 Add '20' to each side of the equation. -20 + 20 + 1X = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 1X = -6 + 20 1X = -6 + 20 Combine like terms: -6 + 20 = 14 1X = 14 Divide each side by '1'. X = 14 Simplifying X = 14
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