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Simplifying 2x + 5 + 12x + -2 = 32x + -34 Reorder the terms: 5 + -2 + 2x + 12x = 32x + -34 Combine like terms: 5 + -2 = 3 3 + 2x + 12x = 32x + -34 Combine like terms: 2x + 12x = 14x 3 + 14x = 32x + -34 Reorder the terms: 3 + 14x = -34 + 32x Solving 3 + 14x = -34 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 3 + 14x + -32x = -34 + 32x + -32x Combine like terms: 14x + -32x = -18x 3 + -18x = -34 + 32x + -32x Combine like terms: 32x + -32x = 0 3 + -18x = -34 + 0 3 + -18x = -34 Add '-3' to each side of the equation. 3 + -3 + -18x = -34 + -3 Combine like terms: 3 + -3 = 0 0 + -18x = -34 + -3 -18x = -34 + -3 Combine like terms: -34 + -3 = -37 -18x = -37 Divide each side by '-18'. x = 2.055555556 Simplifying x = 2.055555556
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