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Simplifying 7x3 + 21x + -7 = 17x + 7x3 + 77 Reorder the terms: -7 + 21x + 7x3 = 17x + 7x3 + 77 Reorder the terms: -7 + 21x + 7x3 = 77 + 17x + 7x3 Add '-7x3' to each side of the equation. -7 + 21x + 7x3 + -7x3 = 77 + 17x + 7x3 + -7x3 Combine like terms: 7x3 + -7x3 = 0 -7 + 21x + 0 = 77 + 17x + 7x3 + -7x3 -7 + 21x = 77 + 17x + 7x3 + -7x3 Combine like terms: 7x3 + -7x3 = 0 -7 + 21x = 77 + 17x + 0 -7 + 21x = 77 + 17x Solving -7 + 21x = 77 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -7 + 21x + -17x = 77 + 17x + -17x Combine like terms: 21x + -17x = 4x -7 + 4x = 77 + 17x + -17x Combine like terms: 17x + -17x = 0 -7 + 4x = 77 + 0 -7 + 4x = 77 Add '7' to each side of the equation. -7 + 7 + 4x = 77 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 77 + 7 4x = 77 + 7 Combine like terms: 77 + 7 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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