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Simplifying 12x + 5 = 4[-1x + 3] + 1 Reorder the terms: 5 + 12x = 4[-1x + 3] + 1 Reorder the terms: 5 + 12x = 4[3 + -1x] + 1 5 + 12x = [3 * 4 + -1x * 4] + 1 5 + 12x = [12 + -4x] + 1 Reorder the terms: 5 + 12x = 12 + 1 + -4x Combine like terms: 12 + 1 = 13 5 + 12x = 13 + -4x Solving 5 + 12x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 12x + 4x = 13 + -4x + 4x Combine like terms: 12x + 4x = 16x 5 + 16x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 16x = 13 + 0 5 + 16x = 13 Add '-5' to each side of the equation. 5 + -5 + 16x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 16x = 13 + -5 16x = 13 + -5 Combine like terms: 13 + -5 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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