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Simplifying 6x + -2(2 + -3x) = 3(x + -3) + -31 6x + (2 * -2 + -3x * -2) = 3(x + -3) + -31 6x + (-4 + 6x) = 3(x + -3) + -31 Reorder the terms: -4 + 6x + 6x = 3(x + -3) + -31 Combine like terms: 6x + 6x = 12x -4 + 12x = 3(x + -3) + -31 Reorder the terms: -4 + 12x = 3(-3 + x) + -31 -4 + 12x = (-3 * 3 + x * 3) + -31 -4 + 12x = (-9 + 3x) + -31 Reorder the terms: -4 + 12x = -9 + -31 + 3x Combine like terms: -9 + -31 = -40 -4 + 12x = -40 + 3x Solving -4 + 12x = -40 + 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. -4 + 12x + -3x = -40 + 3x + -3x Combine like terms: 12x + -3x = 9x -4 + 9x = -40 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 9x = -40 + 0 -4 + 9x = -40 Add '4' to each side of the equation. -4 + 4 + 9x = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = -40 + 4 9x = -40 + 4 Combine like terms: -40 + 4 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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