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Simplifying 7(3x + 1) + -4(x + -3) = 0 Reorder the terms: 7(1 + 3x) + -4(x + -3) = 0 (1 * 7 + 3x * 7) + -4(x + -3) = 0 (7 + 21x) + -4(x + -3) = 0 Reorder the terms: 7 + 21x + -4(-3 + x) = 0 7 + 21x + (-3 * -4 + x * -4) = 0 7 + 21x + (12 + -4x) = 0 Reorder the terms: 7 + 12 + 21x + -4x = 0 Combine like terms: 7 + 12 = 19 19 + 21x + -4x = 0 Combine like terms: 21x + -4x = 17x 19 + 17x = 0 Solving 19 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 17x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 17x = 0 + -19 17x = 0 + -19 Combine like terms: 0 + -19 = -19 17x = -19 Divide each side by '17'. x = -1.117647059 Simplifying x = -1.117647059
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