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Simplifying 7x + 23 = 2(x + 4) Reorder the terms: 23 + 7x = 2(x + 4) Reorder the terms: 23 + 7x = 2(4 + x) 23 + 7x = (4 * 2 + x * 2) 23 + 7x = (8 + 2x) Solving 23 + 7x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 23 + 7x + -2x = 8 + 2x + -2x Combine like terms: 7x + -2x = 5x 23 + 5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 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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