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Simplifying 10x + -1(x + -23) = 2(2x + 4) Reorder the terms: 10x + -1(-23 + x) = 2(2x + 4) 10x + (-23 * -1 + x * -1) = 2(2x + 4) 10x + (23 + -1x) = 2(2x + 4) Reorder the terms: 23 + 10x + -1x = 2(2x + 4) Combine like terms: 10x + -1x = 9x 23 + 9x = 2(2x + 4) Reorder the terms: 23 + 9x = 2(4 + 2x) 23 + 9x = (4 * 2 + 2x * 2) 23 + 9x = (8 + 4x) Solving 23 + 9x = 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. 23 + 9x + -4x = 8 + 4x + -4x Combine like terms: 9x + -4x = 5x 23 + 5x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 23 + 5x = 8 + 0 23 + 5x = 8 Add '-23' to each side of the equation. 23 + -23 + 5x = 8 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 8 + -23 5x = 8 + -23 Combine like terms: 8 + -23 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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