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Simplifying -23 + 5x = -7(-6 + x) + 7 -23 + 5x = (-6 * -7 + x * -7) + 7 -23 + 5x = (42 + -7x) + 7 Reorder the terms: -23 + 5x = 42 + 7 + -7x Combine like terms: 42 + 7 = 49 -23 + 5x = 49 + -7x Solving -23 + 5x = 49 + -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. -23 + 5x + 7x = 49 + -7x + 7x Combine like terms: 5x + 7x = 12x -23 + 12x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 -23 + 12x = 49 + 0 -23 + 12x = 49 Add '23' to each side of the equation. -23 + 23 + 12x = 49 + 23 Combine like terms: -23 + 23 = 0 0 + 12x = 49 + 23 12x = 49 + 23 Combine like terms: 49 + 23 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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