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Simplifying 3(x + -3) = -7x + 51 Reorder the terms: 3(-3 + x) = -7x + 51 (-3 * 3 + x * 3) = -7x + 51 (-9 + 3x) = -7x + 51 Reorder the terms: -9 + 3x = 51 + -7x Solving -9 + 3x = 51 + -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 = 51 + -7x + 7x Combine like terms: 3x + 7x = 10x -9 + 10x = 51 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 10x = 51 + 0 -9 + 10x = 51 Add '9' to each side of the equation. -9 + 9 + 10x = 51 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 51 + 9 10x = 51 + 9 Combine like terms: 51 + 9 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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