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Simplifying -7(x + -5) = 2(3x + -5) + 6 Reorder the terms: -7(-5 + x) = 2(3x + -5) + 6 (-5 * -7 + x * -7) = 2(3x + -5) + 6 (35 + -7x) = 2(3x + -5) + 6 Reorder the terms: 35 + -7x = 2(-5 + 3x) + 6 35 + -7x = (-5 * 2 + 3x * 2) + 6 35 + -7x = (-10 + 6x) + 6 Reorder the terms: 35 + -7x = -10 + 6 + 6x Combine like terms: -10 + 6 = -4 35 + -7x = -4 + 6x Solving 35 + -7x = -4 + 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. 35 + -7x + -6x = -4 + 6x + -6x Combine like terms: -7x + -6x = -13x 35 + -13x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -13x = -4 + 0 35 + -13x = -4 Add '-35' to each side of the equation. 35 + -35 + -13x = -4 + -35 Combine like terms: 35 + -35 = 0 0 + -13x = -4 + -35 -13x = -4 + -35 Combine like terms: -4 + -35 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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