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Simplifying -3(x + -7) = 4(9 + -2x) Reorder the terms: -3(-7 + x) = 4(9 + -2x) (-7 * -3 + x * -3) = 4(9 + -2x) (21 + -3x) = 4(9 + -2x) 21 + -3x = (9 * 4 + -2x * 4) 21 + -3x = (36 + -8x) Solving 21 + -3x = 36 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 21 + -3x + 8x = 36 + -8x + 8x Combine like terms: -3x + 8x = 5x 21 + 5x = 36 + -8x + 8x Combine like terms: -8x + 8x = 0 21 + 5x = 36 + 0 21 + 5x = 36 Add '-21' to each side of the equation. 21 + -21 + 5x = 36 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 36 + -21 5x = 36 + -21 Combine like terms: 36 + -21 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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