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Simplifying -3(2x + -9) + 7(x + -4) = 12 + -9 Reorder the terms: -3(-9 + 2x) + 7(x + -4) = 12 + -9 (-9 * -3 + 2x * -3) + 7(x + -4) = 12 + -9 (27 + -6x) + 7(x + -4) = 12 + -9 Reorder the terms: 27 + -6x + 7(-4 + x) = 12 + -9 27 + -6x + (-4 * 7 + x * 7) = 12 + -9 27 + -6x + (-28 + 7x) = 12 + -9 Reorder the terms: 27 + -28 + -6x + 7x = 12 + -9 Combine like terms: 27 + -28 = -1 -1 + -6x + 7x = 12 + -9 Combine like terms: -6x + 7x = 1x -1 + 1x = 12 + -9 Combine like terms: 12 + -9 = 3 -1 + 1x = 3 Solving -1 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 3 + 1 1x = 3 + 1 Combine like terms: 3 + 1 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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