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Simplifying (4 + 7x) + -1(3 + 6x) = 0 Remove parenthesis around (4 + 7x) 4 + 7x + -1(3 + 6x) = 0 4 + 7x + (3 * -1 + 6x * -1) = 0 4 + 7x + (-3 + -6x) = 0 Reorder the terms: 4 + -3 + 7x + -6x = 0 Combine like terms: 4 + -3 = 1 1 + 7x + -6x = 0 Combine like terms: 7x + -6x = 1x 1 + 1x = 0 Solving 1 + 1x = 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 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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