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Simplifying -2 + -6(x + -1) = 7(x + -3) + 2 Reorder the terms: -2 + -6(-1 + x) = 7(x + -3) + 2 -2 + (-1 * -6 + x * -6) = 7(x + -3) + 2 -2 + (6 + -6x) = 7(x + -3) + 2 Combine like terms: -2 + 6 = 4 4 + -6x = 7(x + -3) + 2 Reorder the terms: 4 + -6x = 7(-3 + x) + 2 4 + -6x = (-3 * 7 + x * 7) + 2 4 + -6x = (-21 + 7x) + 2 Reorder the terms: 4 + -6x = -21 + 2 + 7x Combine like terms: -21 + 2 = -19 4 + -6x = -19 + 7x Solving 4 + -6x = -19 + 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. 4 + -6x + -7x = -19 + 7x + -7x Combine like terms: -6x + -7x = -13x 4 + -13x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -13x = -19 + 0 4 + -13x = -19 Add '-4' to each side of the equation. 4 + -4 + -13x = -19 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = -19 + -4 -13x = -19 + -4 Combine like terms: -19 + -4 = -23 -13x = -23 Divide each side by '-13'. x = 1.769230769 Simplifying x = 1.769230769
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