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Simplifying 7(x + -2) = -9(x + 3) + 33 Reorder the terms: 7(-2 + x) = -9(x + 3) + 33 (-2 * 7 + x * 7) = -9(x + 3) + 33 (-14 + 7x) = -9(x + 3) + 33 Reorder the terms: -14 + 7x = -9(3 + x) + 33 -14 + 7x = (3 * -9 + x * -9) + 33 -14 + 7x = (-27 + -9x) + 33 Reorder the terms: -14 + 7x = -27 + 33 + -9x Combine like terms: -27 + 33 = 6 -14 + 7x = 6 + -9x Solving -14 + 7x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -14 + 7x + 9x = 6 + -9x + 9x Combine like terms: 7x + 9x = 16x -14 + 16x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 16x = 6 + 0 -14 + 16x = 6 Add '14' to each side of the equation. -14 + 14 + 16x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = 6 + 14 16x = 6 + 14 Combine like terms: 6 + 14 = 20 16x = 20 Divide each side by '16'. x = 1.25 Simplifying x = 1.25
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