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Simplifying 7(-3 + -4x) = 5(x + 9) (-3 * 7 + -4x * 7) = 5(x + 9) (-21 + -28x) = 5(x + 9) Reorder the terms: -21 + -28x = 5(9 + x) -21 + -28x = (9 * 5 + x * 5) -21 + -28x = (45 + 5x) Solving -21 + -28x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + -28x + -5x = 45 + 5x + -5x Combine like terms: -28x + -5x = -33x -21 + -33x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -33x = 45 + 0 -21 + -33x = 45 Add '21' to each side of the equation. -21 + 21 + -33x = 45 + 21 Combine like terms: -21 + 21 = 0 0 + -33x = 45 + 21 -33x = 45 + 21 Combine like terms: 45 + 21 = 66 -33x = 66 Divide each side by '-33'. x = -2 Simplifying x = -2
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