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Simplifying 3 + -5(1 + 6x) = 3x + 31 3 + (1 * -5 + 6x * -5) = 3x + 31 3 + (-5 + -30x) = 3x + 31 Combine like terms: 3 + -5 = -2 -2 + -30x = 3x + 31 Reorder the terms: -2 + -30x = 31 + 3x Solving -2 + -30x = 31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + -30x + -3x = 31 + 3x + -3x Combine like terms: -30x + -3x = -33x -2 + -33x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -33x = 31 + 0 -2 + -33x = 31 Add '2' to each side of the equation. -2 + 2 + -33x = 31 + 2 Combine like terms: -2 + 2 = 0 0 + -33x = 31 + 2 -33x = 31 + 2 Combine like terms: 31 + 2 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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