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Simplifying 13x + -33 = 7 + -1(3x + 9) Reorder the terms: -33 + 13x = 7 + -1(3x + 9) Reorder the terms: -33 + 13x = 7 + -1(9 + 3x) -33 + 13x = 7 + (9 * -1 + 3x * -1) -33 + 13x = 7 + (-9 + -3x) Combine like terms: 7 + -9 = -2 -33 + 13x = -2 + -3x Solving -33 + 13x = -2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -33 + 13x + 3x = -2 + -3x + 3x Combine like terms: 13x + 3x = 16x -33 + 16x = -2 + -3x + 3x Combine like terms: -3x + 3x = 0 -33 + 16x = -2 + 0 -33 + 16x = -2 Add '33' to each side of the equation. -33 + 33 + 16x = -2 + 33 Combine like terms: -33 + 33 = 0 0 + 16x = -2 + 33 16x = -2 + 33 Combine like terms: -2 + 33 = 31 16x = 31 Divide each side by '16'. x = 1.9375 Simplifying x = 1.9375
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