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Simplifying 3x + 6(x + -4) = 3(x + -6) Reorder the terms: 3x + 6(-4 + x) = 3(x + -6) 3x + (-4 * 6 + x * 6) = 3(x + -6) 3x + (-24 + 6x) = 3(x + -6) Reorder the terms: -24 + 3x + 6x = 3(x + -6) Combine like terms: 3x + 6x = 9x -24 + 9x = 3(x + -6) Reorder the terms: -24 + 9x = 3(-6 + x) -24 + 9x = (-6 * 3 + x * 3) -24 + 9x = (-18 + 3x) Solving -24 + 9x = -18 + 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 + 9x + -3x = -18 + 3x + -3x Combine like terms: 9x + -3x = 6x -24 + 6x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 6x = -18 + 0 -24 + 6x = -18 Add '24' to each side of the equation. -24 + 24 + 6x = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 6x = -18 + 24 6x = -18 + 24 Combine like terms: -18 + 24 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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