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Simplifying 7(x3 + 3x + -1) = 17x + 7(x3 + 11) Reorder the terms: 7(-1 + 3x + x3) = 17x + 7(x3 + 11) (-1 * 7 + 3x * 7 + x3 * 7) = 17x + 7(x3 + 11) (-7 + 21x + 7x3) = 17x + 7(x3 + 11) Reorder the terms: -7 + 21x + 7x3 = 17x + 7(11 + x3) -7 + 21x + 7x3 = 17x + (11 * 7 + x3 * 7) -7 + 21x + 7x3 = 17x + (77 + 7x3) 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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