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Simplifying 9(x + -4) = 3x + 6 Reorder the terms: 9(-4 + x) = 3x + 6 (-4 * 9 + x * 9) = 3x + 6 (-36 + 9x) = 3x + 6 Reorder the terms: -36 + 9x = 6 + 3x Solving -36 + 9x = 6 + 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. -36 + 9x + -3x = 6 + 3x + -3x Combine like terms: 9x + -3x = 6x -36 + 6x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + 6x = 6 + 0 -36 + 6x = 6 Add '36' to each side of the equation. -36 + 36 + 6x = 6 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 6 + 36 6x = 6 + 36 Combine like terms: 6 + 36 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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