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Simplifying -6x + 2(3x + -5) = -7 + -3x Reorder the terms: -6x + 2(-5 + 3x) = -7 + -3x -6x + (-5 * 2 + 3x * 2) = -7 + -3x -6x + (-10 + 6x) = -7 + -3x Reorder the terms: -10 + -6x + 6x = -7 + -3x Combine like terms: -6x + 6x = 0 -10 + 0 = -7 + -3x -10 = -7 + -3x Solving -10 = -7 + -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. -10 + 3x = -7 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 3x = -7 + 0 -10 + 3x = -7 Add '10' to each side of the equation. -10 + 10 + 3x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -7 + 10 3x = -7 + 10 Combine like terms: -7 + 10 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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