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Simplifying x + 3(x + -9) + -2(x + 15) = -39 Reorder the terms: x + 3(-9 + x) + -2(x + 15) = -39 x + (-9 * 3 + x * 3) + -2(x + 15) = -39 x + (-27 + 3x) + -2(x + 15) = -39 Reorder the terms: x + -27 + 3x + -2(15 + x) = -39 x + -27 + 3x + (15 * -2 + x * -2) = -39 x + -27 + 3x + (-30 + -2x) = -39 Reorder the terms: -27 + -30 + x + 3x + -2x = -39 Combine like terms: -27 + -30 = -57 -57 + x + 3x + -2x = -39 Combine like terms: x + 3x = 4x -57 + 4x + -2x = -39 Combine like terms: 4x + -2x = 2x -57 + 2x = -39 Solving -57 + 2x = -39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 2x = -39 + 57 Combine like terms: -57 + 57 = 0 0 + 2x = -39 + 57 2x = -39 + 57 Combine like terms: -39 + 57 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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