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Simplifying -3x + 2(4x + -9) = -53 Reorder the terms: -3x + 2(-9 + 4x) = -53 -3x + (-9 * 2 + 4x * 2) = -53 -3x + (-18 + 8x) = -53 Reorder the terms: -18 + -3x + 8x = -53 Combine like terms: -3x + 8x = 5x -18 + 5x = -53 Solving -18 + 5x = -53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 5x = -53 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -53 + 18 5x = -53 + 18 Combine like terms: -53 + 18 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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