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Simplifying 13x + -33 = 7 + -1(2x + 9) Reorder the terms: -33 + 13x = 7 + -1(2x + 9) Reorder the terms: -33 + 13x = 7 + -1(9 + 2x) -33 + 13x = 7 + (9 * -1 + 2x * -1) -33 + 13x = 7 + (-9 + -2x) Combine like terms: 7 + -9 = -2 -33 + 13x = -2 + -2x Solving -33 + 13x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -33 + 13x + 2x = -2 + -2x + 2x Combine like terms: 13x + 2x = 15x -33 + 15x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -33 + 15x = -2 + 0 -33 + 15x = -2 Add '33' to each side of the equation. -33 + 33 + 15x = -2 + 33 Combine like terms: -33 + 33 = 0 0 + 15x = -2 + 33 15x = -2 + 33 Combine like terms: -2 + 33 = 31 15x = 31 Divide each side by '15'. x = 2.066666667 Simplifying x = 2.066666667
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