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Simplifying 12x + -1(7x + 21) = 10x + -1 Reorder the terms: 12x + -1(21 + 7x) = 10x + -1 12x + (21 * -1 + 7x * -1) = 10x + -1 12x + (-21 + -7x) = 10x + -1 Reorder the terms: -21 + 12x + -7x = 10x + -1 Combine like terms: 12x + -7x = 5x -21 + 5x = 10x + -1 Reorder the terms: -21 + 5x = -1 + 10x Solving -21 + 5x = -1 + 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. -21 + 5x + -10x = -1 + 10x + -10x Combine like terms: 5x + -10x = -5x -21 + -5x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + -5x = -1 + 0 -21 + -5x = -1 Add '21' to each side of the equation. -21 + 21 + -5x = -1 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = -1 + 21 -5x = -1 + 21 Combine like terms: -1 + 21 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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