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Simplifying 14x + -1(4x + -21) + 21x = 12x + -1(7x + -3) + 8 Reorder the terms: 14x + -1(-21 + 4x) + 21x = 12x + -1(7x + -3) + 8 14x + (-21 * -1 + 4x * -1) + 21x = 12x + -1(7x + -3) + 8 14x + (21 + -4x) + 21x = 12x + -1(7x + -3) + 8 Reorder the terms: 21 + 14x + -4x + 21x = 12x + -1(7x + -3) + 8 Combine like terms: 14x + -4x = 10x 21 + 10x + 21x = 12x + -1(7x + -3) + 8 Combine like terms: 10x + 21x = 31x 21 + 31x = 12x + -1(7x + -3) + 8 Reorder the terms: 21 + 31x = 12x + -1(-3 + 7x) + 8 21 + 31x = 12x + (-3 * -1 + 7x * -1) + 8 21 + 31x = 12x + (3 + -7x) + 8 Reorder the terms: 21 + 31x = 3 + 8 + 12x + -7x Combine like terms: 3 + 8 = 11 21 + 31x = 11 + 12x + -7x Combine like terms: 12x + -7x = 5x 21 + 31x = 11 + 5x Solving 21 + 31x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + 31x + -5x = 11 + 5x + -5x Combine like terms: 31x + -5x = 26x 21 + 26x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 26x = 11 + 0 21 + 26x = 11 Add '-21' to each side of the equation. 21 + -21 + 26x = 11 + -21 Combine like terms: 21 + -21 = 0 0 + 26x = 11 + -21 26x = 11 + -21 Combine like terms: 11 + -21 = -10 26x = -10 Divide each side by '26'. x = -0.3846153846 Simplifying x = -0.3846153846
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