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Simplifying 3(x + -3) = 47 + -4x Reorder the terms: 3(-3 + x) = 47 + -4x (-3 * 3 + x * 3) = 47 + -4x (-9 + 3x) = 47 + -4x Solving -9 + 3x = 47 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + 3x + 4x = 47 + -4x + 4x Combine like terms: 3x + 4x = 7x -9 + 7x = 47 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 7x = 47 + 0 -9 + 7x = 47 Add '9' to each side of the equation. -9 + 9 + 7x = 47 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 47 + 9 7x = 47 + 9 Combine like terms: 47 + 9 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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