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Simplifying 23 = 3(x + 5) + -7x Reorder the terms: 23 = 3(5 + x) + -7x 23 = (5 * 3 + x * 3) + -7x 23 = (15 + 3x) + -7x Combine like terms: 3x + -7x = -4x 23 = 15 + -4x Solving 23 = 15 + -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 + 4x = 15 + -4x + 4x Combine like terms: -4x + 4x = 0 23 + 4x = 15 + 0 23 + 4x = 15 Add '-23' to each side of the equation. 23 + -23 + 4x = 15 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = 15 + -23 4x = 15 + -23 Combine like terms: 15 + -23 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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