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Simplifying 7(3x + 1) + -2(2x + 4) = 0 Reorder the terms: 7(1 + 3x) + -2(2x + 4) = 0 (1 * 7 + 3x * 7) + -2(2x + 4) = 0 (7 + 21x) + -2(2x + 4) = 0 Reorder the terms: 7 + 21x + -2(4 + 2x) = 0 7 + 21x + (4 * -2 + 2x * -2) = 0 7 + 21x + (-8 + -4x) = 0 Reorder the terms: 7 + -8 + 21x + -4x = 0 Combine like terms: 7 + -8 = -1 -1 + 21x + -4x = 0 Combine like terms: 21x + -4x = 17x -1 + 17x = 0 Solving -1 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 17x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 17x = 0 + 1 17x = 0 + 1 Combine like terms: 0 + 1 = 1 17x = 1 Divide each side by '17'. x = 0.05882352941 Simplifying x = 0.05882352941
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