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Simplifying (X + -3) + -4(x + 5) = 7x + 1 Reorder the terms: (-3 + X) + -4(x + 5) = 7x + 1 Remove parenthesis around (-3 + X) -3 + X + -4(x + 5) = 7x + 1 Reorder the terms: -3 + X + -4(5 + x) = 7x + 1 -3 + X + (5 * -4 + x * -4) = 7x + 1 -3 + X + (-20 + -4x) = 7x + 1 Reorder the terms: -3 + -20 + X + -4x = 7x + 1 Combine like terms: -3 + -20 = -23 -23 + X + -4x = 7x + 1 Reorder the terms: -23 + X + -4x = 1 + 7x Solving -23 + X + -4x = 1 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '23' to each side of the equation. -23 + X + 23 + -4x = 1 + 23 + 7x Reorder the terms: -23 + 23 + X + -4x = 1 + 23 + 7x Combine like terms: -23 + 23 = 0 0 + X + -4x = 1 + 23 + 7x X + -4x = 1 + 23 + 7x Combine like terms: 1 + 23 = 24 X + -4x = 24 + 7x Add '4x' to each side of the equation. X + -4x + 4x = 24 + 7x + 4x Combine like terms: -4x + 4x = 0 X + 0 = 24 + 7x + 4x X = 24 + 7x + 4x Combine like terms: 7x + 4x = 11x X = 24 + 11x Simplifying X = 24 + 11x
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