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Simplifying 3(x + -9) = -4(x + -2) Reorder the terms: 3(-9 + x) = -4(x + -2) (-9 * 3 + x * 3) = -4(x + -2) (-27 + 3x) = -4(x + -2) Reorder the terms: -27 + 3x = -4(-2 + x) -27 + 3x = (-2 * -4 + x * -4) -27 + 3x = (8 + -4x) Solving -27 + 3x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -27 + 3x + 4x = 8 + -4x + 4x Combine like terms: 3x + 4x = 7x -27 + 7x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 7x = 8 + 0 -27 + 7x = 8 Add '27' to each side of the equation. -27 + 27 + 7x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = 8 + 27 7x = 8 + 27 Combine like terms: 8 + 27 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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