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Simplifying 6(x + -4) = -3x + 39 Reorder the terms: 6(-4 + x) = -3x + 39 (-4 * 6 + x * 6) = -3x + 39 (-24 + 6x) = -3x + 39 Reorder the terms: -24 + 6x = 39 + -3x Solving -24 + 6x = 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 + 6x + 3x = 39 + -3x + 3x Combine like terms: 6x + 3x = 9x -24 + 9x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 -24 + 9x = 39 + 0 -24 + 9x = 39 Add '24' to each side of the equation. -24 + 24 + 9x = 39 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 39 + 24 9x = 39 + 24 Combine like terms: 39 + 24 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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