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Simplifying 12x + -2(2x + -3) = 7x + 1 Reorder the terms: 12x + -2(-3 + 2x) = 7x + 1 12x + (-3 * -2 + 2x * -2) = 7x + 1 12x + (6 + -4x) = 7x + 1 Reorder the terms: 6 + 12x + -4x = 7x + 1 Combine like terms: 12x + -4x = 8x 6 + 8x = 7x + 1 Reorder the terms: 6 + 8x = 1 + 7x Solving 6 + 8x = 1 + 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. 6 + 8x + -7x = 1 + 7x + -7x Combine like terms: 8x + -7x = 1x 6 + 1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 1x = 1 + 0 6 + 1x = 1 Add '-6' to each side of the equation. 6 + -6 + 1x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 1 + -6 1x = 1 + -6 Combine like terms: 1 + -6 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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