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Simplifying -21 + -14(-1x + -85) = 21(x + 51) Reorder the terms: -21 + -14(-85 + -1x) = 21(x + 51) -21 + (-85 * -14 + -1x * -14) = 21(x + 51) -21 + (1190 + 14x) = 21(x + 51) Combine like terms: -21 + 1190 = 1169 1169 + 14x = 21(x + 51) Reorder the terms: 1169 + 14x = 21(51 + x) 1169 + 14x = (51 * 21 + x * 21) 1169 + 14x = (1071 + 21x) Solving 1169 + 14x = 1071 + 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. 1169 + 14x + -21x = 1071 + 21x + -21x Combine like terms: 14x + -21x = -7x 1169 + -7x = 1071 + 21x + -21x Combine like terms: 21x + -21x = 0 1169 + -7x = 1071 + 0 1169 + -7x = 1071 Add '-1169' to each side of the equation. 1169 + -1169 + -7x = 1071 + -1169 Combine like terms: 1169 + -1169 = 0 0 + -7x = 1071 + -1169 -7x = 1071 + -1169 Combine like terms: 1071 + -1169 = -98 -7x = -98 Divide each side by '-7'. x = 14 Simplifying x = 14
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