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Simplifying 7 + -2(4 + -3x) + (x + 31) = 0 7 + (4 * -2 + -3x * -2) + (x + 31) = 0 7 + (-8 + 6x) + (x + 31) = 0 Reorder the terms: 7 + -8 + 6x + (31 + x) = 0 Remove parenthesis around (31 + x) 7 + -8 + 6x + 31 + x = 0 Reorder the terms: 7 + -8 + 31 + 6x + x = 0 Combine like terms: 7 + -8 = -1 -1 + 31 + 6x + x = 0 Combine like terms: -1 + 31 = 30 30 + 6x + x = 0 Combine like terms: 6x + x = 7x 30 + 7x = 0 Solving 30 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 0 + -30 7x = 0 + -30 Combine like terms: 0 + -30 = -30 7x = -30 Divide each side by '7'. x = -4.285714286 Simplifying x = -4.285714286
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