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Simplifying X + -4(x + -5) = 7(x + 7) Reorder the terms: X + -4(-5 + x) = 7(x + 7) X + (-5 * -4 + x * -4) = 7(x + 7) X + (20 + -4x) = 7(x + 7) Reorder the terms: 20 + X + -4x = 7(x + 7) Reorder the terms: 20 + X + -4x = 7(7 + x) 20 + X + -4x = (7 * 7 + x * 7) 20 + X + -4x = (49 + 7x) Solving 20 + X + -4x = 49 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + X + -20 + -4x = 49 + -20 + 7x Reorder the terms: 20 + -20 + X + -4x = 49 + -20 + 7x Combine like terms: 20 + -20 = 0 0 + X + -4x = 49 + -20 + 7x X + -4x = 49 + -20 + 7x Combine like terms: 49 + -20 = 29 X + -4x = 29 + 7x Add '4x' to each side of the equation. X + -4x + 4x = 29 + 7x + 4x Combine like terms: -4x + 4x = 0 X + 0 = 29 + 7x + 4x X = 29 + 7x + 4x Combine like terms: 7x + 4x = 11x X = 29 + 11x Simplifying X = 29 + 11x
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