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Simplifying 2x + 4 = -1(-7x + 6) Reorder the terms: 4 + 2x = -1(-7x + 6) Reorder the terms: 4 + 2x = -1(6 + -7x) 4 + 2x = (6 * -1 + -7x * -1) 4 + 2x = (-6 + 7x) Solving 4 + 2x = -6 + 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. 4 + 2x + -7x = -6 + 7x + -7x Combine like terms: 2x + -7x = -5x 4 + -5x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -5x = -6 + 0 4 + -5x = -6 Add '-4' to each side of the equation. 4 + -4 + -5x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -6 + -4 -5x = -6 + -4 Combine like terms: -6 + -4 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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