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Simplifying -2x + 6 = -2(2x + -5) + -2 Reorder the terms: 6 + -2x = -2(2x + -5) + -2 Reorder the terms: 6 + -2x = -2(-5 + 2x) + -2 6 + -2x = (-5 * -2 + 2x * -2) + -2 6 + -2x = (10 + -4x) + -2 Reorder the terms: 6 + -2x = 10 + -2 + -4x Combine like terms: 10 + -2 = 8 6 + -2x = 8 + -4x Solving 6 + -2x = 8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + -2x + 4x = 8 + -4x + 4x Combine like terms: -2x + 4x = 2x 6 + 2x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 2x = 8 + 0 6 + 2x = 8 Add '-6' to each side of the equation. 6 + -6 + 2x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 8 + -6 2x = 8 + -6 Combine like terms: 8 + -6 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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