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Simplifying 3(-2x) + -1x + -1 = x + 31 Remove parenthesis around (-2x) 3 * -2x + -1x + -1 = x + 31 Multiply 3 * -2 -6x + -1x + -1 = x + 31 Reorder the terms: -1 + -6x + -1x = x + 31 Combine like terms: -6x + -1x = -7x -1 + -7x = x + 31 Reorder the terms: -1 + -7x = 31 + x Solving -1 + -7x = 31 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -7x + -1x = 31 + x + -1x Combine like terms: -7x + -1x = -8x -1 + -8x = 31 + x + -1x Combine like terms: x + -1x = 0 -1 + -8x = 31 + 0 -1 + -8x = 31 Add '1' to each side of the equation. -1 + 1 + -8x = 31 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 31 + 1 -8x = 31 + 1 Combine like terms: 31 + 1 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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