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Simplifying 6 + 7(3x + -5) = 3 + -3(7x + -9) Reorder the terms: 6 + 7(-5 + 3x) = 3 + -3(7x + -9) 6 + (-5 * 7 + 3x * 7) = 3 + -3(7x + -9) 6 + (-35 + 21x) = 3 + -3(7x + -9) Combine like terms: 6 + -35 = -29 -29 + 21x = 3 + -3(7x + -9) Reorder the terms: -29 + 21x = 3 + -3(-9 + 7x) -29 + 21x = 3 + (-9 * -3 + 7x * -3) -29 + 21x = 3 + (27 + -21x) Combine like terms: 3 + 27 = 30 -29 + 21x = 30 + -21x Solving -29 + 21x = 30 + -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. -29 + 21x + 21x = 30 + -21x + 21x Combine like terms: 21x + 21x = 42x -29 + 42x = 30 + -21x + 21x Combine like terms: -21x + 21x = 0 -29 + 42x = 30 + 0 -29 + 42x = 30 Add '29' to each side of the equation. -29 + 29 + 42x = 30 + 29 Combine like terms: -29 + 29 = 0 0 + 42x = 30 + 29 42x = 30 + 29 Combine like terms: 30 + 29 = 59 42x = 59 Divide each side by '42'. x = 1.404761905 Simplifying x = 1.404761905
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