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Simplifying -23 = 7x + 5(-2x + 2) Reorder the terms: -23 = 7x + 5(2 + -2x) -23 = 7x + (2 * 5 + -2x * 5) -23 = 7x + (10 + -10x) Reorder the terms: -23 = 10 + 7x + -10x Combine like terms: 7x + -10x = -3x -23 = 10 + -3x Solving -23 = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -23 + 3x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 -23 + 3x = 10 + 0 -23 + 3x = 10 Add '23' to each side of the equation. -23 + 23 + 3x = 10 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = 10 + 23 3x = 10 + 23 Combine like terms: 10 + 23 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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