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Simplifying 7(3x + 1) + -3(2 + -4x) = 14(5x + -4) + 6(7x) Reorder the terms: 7(1 + 3x) + -3(2 + -4x) = 14(5x + -4) + 6(7x) (1 * 7 + 3x * 7) + -3(2 + -4x) = 14(5x + -4) + 6(7x) (7 + 21x) + -3(2 + -4x) = 14(5x + -4) + 6(7x) 7 + 21x + (2 * -3 + -4x * -3) = 14(5x + -4) + 6(7x) 7 + 21x + (-6 + 12x) = 14(5x + -4) + 6(7x) Reorder the terms: 7 + -6 + 21x + 12x = 14(5x + -4) + 6(7x) Combine like terms: 7 + -6 = 1 1 + 21x + 12x = 14(5x + -4) + 6(7x) Combine like terms: 21x + 12x = 33x 1 + 33x = 14(5x + -4) + 6(7x) Reorder the terms: 1 + 33x = 14(-4 + 5x) + 6(7x) 1 + 33x = (-4 * 14 + 5x * 14) + 6(7x) 1 + 33x = (-56 + 70x) + 6(7x) Remove parenthesis around (7x) 1 + 33x = -56 + 70x + 6 * 7x Multiply 6 * 7 1 + 33x = -56 + 70x + 42x Combine like terms: 70x + 42x = 112x 1 + 33x = -56 + 112x Solving 1 + 33x = -56 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. 1 + 33x + -112x = -56 + 112x + -112x Combine like terms: 33x + -112x = -79x 1 + -79x = -56 + 112x + -112x Combine like terms: 112x + -112x = 0 1 + -79x = -56 + 0 1 + -79x = -56 Add '-1' to each side of the equation. 1 + -1 + -79x = -56 + -1 Combine like terms: 1 + -1 = 0 0 + -79x = -56 + -1 -79x = -56 + -1 Combine like terms: -56 + -1 = -57 -79x = -57 Divide each side by '-79'. x = 0.7215189873 Simplifying x = 0.7215189873
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