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Simplifying 21(x + -1) + -6 = 10(1 + -1x) + 6 Reorder the terms: 21(-1 + x) + -6 = 10(1 + -1x) + 6 (-1 * 21 + x * 21) + -6 = 10(1 + -1x) + 6 (-21 + 21x) + -6 = 10(1 + -1x) + 6 Reorder the terms: -21 + -6 + 21x = 10(1 + -1x) + 6 Combine like terms: -21 + -6 = -27 -27 + 21x = 10(1 + -1x) + 6 -27 + 21x = (1 * 10 + -1x * 10) + 6 -27 + 21x = (10 + -10x) + 6 Reorder the terms: -27 + 21x = 10 + 6 + -10x Combine like terms: 10 + 6 = 16 -27 + 21x = 16 + -10x Solving -27 + 21x = 16 + -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. -27 + 21x + 10x = 16 + -10x + 10x Combine like terms: 21x + 10x = 31x -27 + 31x = 16 + -10x + 10x Combine like terms: -10x + 10x = 0 -27 + 31x = 16 + 0 -27 + 31x = 16 Add '27' to each side of the equation. -27 + 27 + 31x = 16 + 27 Combine like terms: -27 + 27 = 0 0 + 31x = 16 + 27 31x = 16 + 27 Combine like terms: 16 + 27 = 43 31x = 43 Divide each side by '31'. x = 1.387096774 Simplifying x = 1.387096774
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