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Simplifying 23 + 6x = 6 + 5(5 + 2x) 23 + 6x = 6 + (5 * 5 + 2x * 5) 23 + 6x = 6 + (25 + 10x) Combine like terms: 6 + 25 = 31 23 + 6x = 31 + 10x Solving 23 + 6x = 31 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 23 + 6x + -10x = 31 + 10x + -10x Combine like terms: 6x + -10x = -4x 23 + -4x = 31 + 10x + -10x Combine like terms: 10x + -10x = 0 23 + -4x = 31 + 0 23 + -4x = 31 Add '-23' to each side of the equation. 23 + -23 + -4x = 31 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = 31 + -23 -4x = 31 + -23 Combine like terms: 31 + -23 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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