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Simplifying 12x + -1 = 2(5x + -2) + 1 Reorder the terms: -1 + 12x = 2(5x + -2) + 1 Reorder the terms: -1 + 12x = 2(-2 + 5x) + 1 -1 + 12x = (-2 * 2 + 5x * 2) + 1 -1 + 12x = (-4 + 10x) + 1 Reorder the terms: -1 + 12x = -4 + 1 + 10x Combine like terms: -4 + 1 = -3 -1 + 12x = -3 + 10x Solving -1 + 12x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -1 + 12x + -10x = -3 + 10x + -10x Combine like terms: 12x + -10x = 2x -1 + 2x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + 2x = -3 + 0 -1 + 2x = -3 Add '1' to each side of the equation. -1 + 1 + 2x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = -3 + 1 2x = -3 + 1 Combine like terms: -3 + 1 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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