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Simplifying 3(-2 + -1x) = 5(2x + -7) + 3 (-2 * 3 + -1x * 3) = 5(2x + -7) + 3 (-6 + -3x) = 5(2x + -7) + 3 Reorder the terms: -6 + -3x = 5(-7 + 2x) + 3 -6 + -3x = (-7 * 5 + 2x * 5) + 3 -6 + -3x = (-35 + 10x) + 3 Reorder the terms: -6 + -3x = -35 + 3 + 10x Combine like terms: -35 + 3 = -32 -6 + -3x = -32 + 10x Solving -6 + -3x = -32 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + -3x + -10x = -32 + 10x + -10x Combine like terms: -3x + -10x = -13x -6 + -13x = -32 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -13x = -32 + 0 -6 + -13x = -32 Add '6' to each side of the equation. -6 + 6 + -13x = -32 + 6 Combine like terms: -6 + 6 = 0 0 + -13x = -32 + 6 -13x = -32 + 6 Combine like terms: -32 + 6 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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