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Simplifying 12x + -2(2x + -1) = 7x + 5 Reorder the terms: 12x + -2(-1 + 2x) = 7x + 5 12x + (-1 * -2 + 2x * -2) = 7x + 5 12x + (2 + -4x) = 7x + 5 Reorder the terms: 2 + 12x + -4x = 7x + 5 Combine like terms: 12x + -4x = 8x 2 + 8x = 7x + 5 Reorder the terms: 2 + 8x = 5 + 7x Solving 2 + 8x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 8x + -7x = 5 + 7x + -7x Combine like terms: 8x + -7x = 1x 2 + 1x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 1x = 5 + 0 2 + 1x = 5 Add '-2' to each side of the equation. 2 + -2 + 1x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 5 + -2 1x = 5 + -2 Combine like terms: 5 + -2 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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