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Simplifying 3x + -14 + 2[x + -9] = 2x + -2 Reorder the terms: 3x + -14 + 2[-9 + x] = 2x + -2 3x + -14 + [-9 * 2 + x * 2] = 2x + -2 3x + -14 + [-18 + 2x] = 2x + -2 Reorder the terms: -14 + -18 + 3x + 2x = 2x + -2 Combine like terms: -14 + -18 = -32 -32 + 3x + 2x = 2x + -2 Combine like terms: 3x + 2x = 5x -32 + 5x = 2x + -2 Reorder the terms: -32 + 5x = -2 + 2x Solving -32 + 5x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + 5x + -2x = -2 + 2x + -2x Combine like terms: 5x + -2x = 3x -32 + 3x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 3x = -2 + 0 -32 + 3x = -2 Add '32' to each side of the equation. -32 + 32 + 3x = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = -2 + 32 3x = -2 + 32 Combine like terms: -2 + 32 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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