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