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Simplifying -31 + -7x = 3(2x + -6) Reorder the terms: -31 + -7x = 3(-6 + 2x) -31 + -7x = (-6 * 3 + 2x * 3) -31 + -7x = (-18 + 6x) Solving -31 + -7x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -31 + -7x + -6x = -18 + 6x + -6x Combine like terms: -7x + -6x = -13x -31 + -13x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -31 + -13x = -18 + 0 -31 + -13x = -18 Add '31' to each side of the equation. -31 + 31 + -13x = -18 + 31 Combine like terms: -31 + 31 = 0 0 + -13x = -18 + 31 -13x = -18 + 31 Combine like terms: -18 + 31 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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