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Simplifying -3(4x + 9) = 2(x + -3) + 7 Reorder the terms: -3(9 + 4x) = 2(x + -3) + 7 (9 * -3 + 4x * -3) = 2(x + -3) + 7 (-27 + -12x) = 2(x + -3) + 7 Reorder the terms: -27 + -12x = 2(-3 + x) + 7 -27 + -12x = (-3 * 2 + x * 2) + 7 -27 + -12x = (-6 + 2x) + 7 Reorder the terms: -27 + -12x = -6 + 7 + 2x Combine like terms: -6 + 7 = 1 -27 + -12x = 1 + 2x Solving -27 + -12x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + -12x + -2x = 1 + 2x + -2x Combine like terms: -12x + -2x = -14x -27 + -14x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + -14x = 1 + 0 -27 + -14x = 1 Add '27' to each side of the equation. -27 + 27 + -14x = 1 + 27 Combine like terms: -27 + 27 = 0 0 + -14x = 1 + 27 -14x = 1 + 27 Combine like terms: 1 + 27 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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