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Simplifying -3(x + -2) = -7(x + 5) Reorder the terms: -3(-2 + x) = -7(x + 5) (-2 * -3 + x * -3) = -7(x + 5) (6 + -3x) = -7(x + 5) Reorder the terms: 6 + -3x = -7(5 + x) 6 + -3x = (5 * -7 + x * -7) 6 + -3x = (-35 + -7x) Solving 6 + -3x = -35 + -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. 6 + -3x + 7x = -35 + -7x + 7x Combine like terms: -3x + 7x = 4x 6 + 4x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 6 + 4x = -35 + 0 6 + 4x = -35 Add '-6' to each side of the equation. 6 + -6 + 4x = -35 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -35 + -6 4x = -35 + -6 Combine like terms: -35 + -6 = -41 4x = -41 Divide each side by '4'. x = -10.25 Simplifying x = -10.25
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