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Simplifying 2x + -32 = 3(3x + -3) + -9 Reorder the terms: -32 + 2x = 3(3x + -3) + -9 Reorder the terms: -32 + 2x = 3(-3 + 3x) + -9 -32 + 2x = (-3 * 3 + 3x * 3) + -9 -32 + 2x = (-9 + 9x) + -9 Reorder the terms: -32 + 2x = -9 + -9 + 9x Combine like terms: -9 + -9 = -18 -32 + 2x = -18 + 9x Solving -32 + 2x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -32 + 2x + -9x = -18 + 9x + -9x Combine like terms: 2x + -9x = -7x -32 + -7x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -32 + -7x = -18 + 0 -32 + -7x = -18 Add '32' to each side of the equation. -32 + 32 + -7x = -18 + 32 Combine like terms: -32 + 32 = 0 0 + -7x = -18 + 32 -7x = -18 + 32 Combine like terms: -18 + 32 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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