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Simplifying 3[7x + -4(x + -3)] + 1 = 0 Reorder the terms: 3[7x + -4(-3 + x)] + 1 = 0 3[7x + (-3 * -4 + x * -4)] + 1 = 0 3[7x + (12 + -4x)] + 1 = 0 Reorder the terms: 3[12 + 7x + -4x] + 1 = 0 Combine like terms: 7x + -4x = 3x 3[12 + 3x] + 1 = 0 [12 * 3 + 3x * 3] + 1 = 0 [36 + 9x] + 1 = 0 Reorder the terms: 36 + 1 + 9x = 0 Combine like terms: 36 + 1 = 37 37 + 9x = 0 Solving 37 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 9x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 9x = 0 + -37 9x = 0 + -37 Combine like terms: 0 + -37 = -37 9x = -37 Divide each side by '9'. x = -4.111111111 Simplifying x = -4.111111111
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