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Simplifying 12 + -1(2x + 3) = 2 + -1(10 + -2x) Reorder the terms: 12 + -1(3 + 2x) = 2 + -1(10 + -2x) 12 + (3 * -1 + 2x * -1) = 2 + -1(10 + -2x) 12 + (-3 + -2x) = 2 + -1(10 + -2x) Combine like terms: 12 + -3 = 9 9 + -2x = 2 + -1(10 + -2x) 9 + -2x = 2 + (10 * -1 + -2x * -1) 9 + -2x = 2 + (-10 + 2x) Combine like terms: 2 + -10 = -8 9 + -2x = -8 + 2x Solving 9 + -2x = -8 + 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. 9 + -2x + -2x = -8 + 2x + -2x Combine like terms: -2x + -2x = -4x 9 + -4x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -4x = -8 + 0 9 + -4x = -8 Add '-9' to each side of the equation. 9 + -9 + -4x = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = -8 + -9 -4x = -8 + -9 Combine like terms: -8 + -9 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25
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