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Simplifying 3(x + -3) = -7(x + 2) + 33 Reorder the terms: 3(-3 + x) = -7(x + 2) + 33 (-3 * 3 + x * 3) = -7(x + 2) + 33 (-9 + 3x) = -7(x + 2) + 33 Reorder the terms: -9 + 3x = -7(2 + x) + 33 -9 + 3x = (2 * -7 + x * -7) + 33 -9 + 3x = (-14 + -7x) + 33 Reorder the terms: -9 + 3x = -14 + 33 + -7x Combine like terms: -14 + 33 = 19 -9 + 3x = 19 + -7x Solving -9 + 3x = 19 + -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. -9 + 3x + 7x = 19 + -7x + 7x Combine like terms: 3x + 7x = 10x -9 + 10x = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 10x = 19 + 0 -9 + 10x = 19 Add '9' to each side of the equation. -9 + 9 + 10x = 19 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 19 + 9 10x = 19 + 9 Combine like terms: 19 + 9 = 28 10x = 28 Divide each side by '10'. x = 2.8 Simplifying x = 2.8
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