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Simplifying 4(x + -6) = 39 + -3x Reorder the terms: 4(-6 + x) = 39 + -3x (-6 * 4 + x * 4) = 39 + -3x (-24 + 4x) = 39 + -3x Solving -24 + 4x = 39 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 4x + 3x = 39 + -3x + 3x Combine like terms: 4x + 3x = 7x -24 + 7x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 7x = 39 + 0 -24 + 7x = 39 Add '24' to each side of the equation. -24 + 24 + 7x = 39 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = 39 + 24 7x = 39 + 24 Combine like terms: 39 + 24 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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