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Simplifying -4x + -9(x + 1) = -3(4x + 7) Reorder the terms: -4x + -9(1 + x) = -3(4x + 7) -4x + (1 * -9 + x * -9) = -3(4x + 7) -4x + (-9 + -9x) = -3(4x + 7) Reorder the terms: -9 + -4x + -9x = -3(4x + 7) Combine like terms: -4x + -9x = -13x -9 + -13x = -3(4x + 7) Reorder the terms: -9 + -13x = -3(7 + 4x) -9 + -13x = (7 * -3 + 4x * -3) -9 + -13x = (-21 + -12x) Solving -9 + -13x = -21 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -9 + -13x + 12x = -21 + -12x + 12x Combine like terms: -13x + 12x = -1x -9 + -1x = -21 + -12x + 12x Combine like terms: -12x + 12x = 0 -9 + -1x = -21 + 0 -9 + -1x = -21 Add '9' to each side of the equation. -9 + 9 + -1x = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -21 + 9 -1x = -21 + 9 Combine like terms: -21 + 9 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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