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Simplifying -3(3x + 1) + 2x + -2 = -54 Reorder the terms: -3(1 + 3x) + 2x + -2 = -54 (1 * -3 + 3x * -3) + 2x + -2 = -54 (-3 + -9x) + 2x + -2 = -54 Reorder the terms: -3 + -2 + -9x + 2x = -54 Combine like terms: -3 + -2 = -5 -5 + -9x + 2x = -54 Combine like terms: -9x + 2x = -7x -5 + -7x = -54 Solving -5 + -7x = -54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7x = -54 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -54 + 5 -7x = -54 + 5 Combine like terms: -54 + 5 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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