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Simplifying -2(3x + -6) = -1 + 7x Reorder the terms: -2(-6 + 3x) = -1 + 7x (-6 * -2 + 3x * -2) = -1 + 7x (12 + -6x) = -1 + 7x Solving 12 + -6x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + -6x + -7x = -1 + 7x + -7x Combine like terms: -6x + -7x = -13x 12 + -13x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -13x = -1 + 0 12 + -13x = -1 Add '-12' to each side of the equation. 12 + -12 + -13x = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -1 + -12 -13x = -1 + -12 Combine like terms: -1 + -12 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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