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Simplifying 13x + (-9x + -16) = 33 + -1(7x + 5) Reorder the terms: 13x + (-16 + -9x) = 33 + -1(7x + 5) Remove parenthesis around (-16 + -9x) 13x + -16 + -9x = 33 + -1(7x + 5) Reorder the terms: -16 + 13x + -9x = 33 + -1(7x + 5) Combine like terms: 13x + -9x = 4x -16 + 4x = 33 + -1(7x + 5) Reorder the terms: -16 + 4x = 33 + -1(5 + 7x) -16 + 4x = 33 + (5 * -1 + 7x * -1) -16 + 4x = 33 + (-5 + -7x) Combine like terms: 33 + -5 = 28 -16 + 4x = 28 + -7x Solving -16 + 4x = 28 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -16 + 4x + 7x = 28 + -7x + 7x Combine like terms: 4x + 7x = 11x -16 + 11x = 28 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + 11x = 28 + 0 -16 + 11x = 28 Add '16' to each side of the equation. -16 + 16 + 11x = 28 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = 28 + 16 11x = 28 + 16 Combine like terms: 28 + 16 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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