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Simplifying 3(x + -3) = -7(x + 4) + 45 Reorder the terms: 3(-3 + x) = -7(x + 4) + 45 (-3 * 3 + x * 3) = -7(x + 4) + 45 (-9 + 3x) = -7(x + 4) + 45 Reorder the terms: -9 + 3x = -7(4 + x) + 45 -9 + 3x = (4 * -7 + x * -7) + 45 -9 + 3x = (-28 + -7x) + 45 Reorder the terms: -9 + 3x = -28 + 45 + -7x Combine like terms: -28 + 45 = 17 -9 + 3x = 17 + -7x Solving -9 + 3x = 17 + -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 = 17 + -7x + 7x Combine like terms: 3x + 7x = 10x -9 + 10x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 10x = 17 + 0 -9 + 10x = 17 Add '9' to each side of the equation. -9 + 9 + 10x = 17 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 17 + 9 10x = 17 + 9 Combine like terms: 17 + 9 = 26 10x = 26 Divide each side by '10'. x = 2.6 Simplifying x = 2.6
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