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Simplifying 8x + 4(x + 8) = 11x + 23 Reorder the terms: 8x + 4(8 + x) = 11x + 23 8x + (8 * 4 + x * 4) = 11x + 23 8x + (32 + 4x) = 11x + 23 Reorder the terms: 32 + 8x + 4x = 11x + 23 Combine like terms: 8x + 4x = 12x 32 + 12x = 11x + 23 Reorder the terms: 32 + 12x = 23 + 11x Solving 32 + 12x = 23 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 32 + 12x + -11x = 23 + 11x + -11x Combine like terms: 12x + -11x = 1x 32 + 1x = 23 + 11x + -11x Combine like terms: 11x + -11x = 0 32 + 1x = 23 + 0 32 + 1x = 23 Add '-32' to each side of the equation. 32 + -32 + 1x = 23 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 23 + -32 1x = 23 + -32 Combine like terms: 23 + -32 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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