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Simplifying 51 + -3(7x + 2) = 4 + -1[3 + -1(2 + -1x)] Reorder the terms: 51 + -3(2 + 7x) = 4 + -1[3 + -1(2 + -1x)] 51 + (2 * -3 + 7x * -3) = 4 + -1[3 + -1(2 + -1x)] 51 + (-6 + -21x) = 4 + -1[3 + -1(2 + -1x)] Combine like terms: 51 + -6 = 45 45 + -21x = 4 + -1[3 + -1(2 + -1x)] 45 + -21x = 4 + -1[3 + (2 * -1 + -1x * -1)] 45 + -21x = 4 + -1[3 + (-2 + 1x)] Combine like terms: 3 + -2 = 1 45 + -21x = 4 + -1[1 + 1x] 45 + -21x = 4 + [1 * -1 + 1x * -1] 45 + -21x = 4 + [-1 + -1x] Combine like terms: 4 + -1 = 3 45 + -21x = 3 + -1x Solving 45 + -21x = 3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 45 + -21x + x = 3 + -1x + x Combine like terms: -21x + x = -20x 45 + -20x = 3 + -1x + x Combine like terms: -1x + x = 0 45 + -20x = 3 + 0 45 + -20x = 3 Add '-45' to each side of the equation. 45 + -45 + -20x = 3 + -45 Combine like terms: 45 + -45 = 0 0 + -20x = 3 + -45 -20x = 3 + -45 Combine like terms: 3 + -45 = -42 -20x = -42 Divide each side by '-20'. x = 2.1 Simplifying x = 2.1
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