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Simplifying 3(x + -9) = 74 + -2(61 + 2x) Reorder the terms: 3(-9 + x) = 74 + -2(61 + 2x) (-9 * 3 + x * 3) = 74 + -2(61 + 2x) (-27 + 3x) = 74 + -2(61 + 2x) -27 + 3x = 74 + (61 * -2 + 2x * -2) -27 + 3x = 74 + (-122 + -4x) Combine like terms: 74 + -122 = -48 -27 + 3x = -48 + -4x Solving -27 + 3x = -48 + -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 = -48 + -4x + 4x Combine like terms: 3x + 4x = 7x -27 + 7x = -48 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 7x = -48 + 0 -27 + 7x = -48 Add '27' to each side of the equation. -27 + 27 + 7x = -48 + 27 Combine like terms: -27 + 27 = 0 0 + 7x = -48 + 27 7x = -48 + 27 Combine like terms: -48 + 27 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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