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Simplifying 8 + -2(2x + -3) = 12 + -2x Reorder the terms: 8 + -2(-3 + 2x) = 12 + -2x 8 + (-3 * -2 + 2x * -2) = 12 + -2x 8 + (6 + -4x) = 12 + -2x Combine like terms: 8 + 6 = 14 14 + -4x = 12 + -2x Solving 14 + -4x = 12 + -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. 14 + -4x + 2x = 12 + -2x + 2x Combine like terms: -4x + 2x = -2x 14 + -2x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + -2x = 12 + 0 14 + -2x = 12 Add '-14' to each side of the equation. 14 + -14 + -2x = 12 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 12 + -14 -2x = 12 + -14 Combine like terms: 12 + -14 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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