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Simplifying 100(1 + -1x) = -3(7x + 2) + 27 (1 * 100 + -1x * 100) = -3(7x + 2) + 27 (100 + -100x) = -3(7x + 2) + 27 Reorder the terms: 100 + -100x = -3(2 + 7x) + 27 100 + -100x = (2 * -3 + 7x * -3) + 27 100 + -100x = (-6 + -21x) + 27 Reorder the terms: 100 + -100x = -6 + 27 + -21x Combine like terms: -6 + 27 = 21 100 + -100x = 21 + -21x Solving 100 + -100x = 21 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 100 + -100x + 21x = 21 + -21x + 21x Combine like terms: -100x + 21x = -79x 100 + -79x = 21 + -21x + 21x Combine like terms: -21x + 21x = 0 100 + -79x = 21 + 0 100 + -79x = 21 Add '-100' to each side of the equation. 100 + -100 + -79x = 21 + -100 Combine like terms: 100 + -100 = 0 0 + -79x = 21 + -100 -79x = 21 + -100 Combine like terms: 21 + -100 = -79 -79x = -79 Divide each side by '-79'. x = 1 Simplifying x = 1
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