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Simplifying 5 + [(11)(x)] = 23 + [(8)(x)] Solving 5 + [11x] = 23 + [8x] Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '[-8x]' to each side of the equation. 5 + [11x] + [-8x] = 23 + [8x] + [-8x] Combine like terms: [11x] + [-8x] = 3x 5 + 3x = 23 + [8x] + [-8x] Combine like terms: [8x] + [-8x] = 0 5 + 3x = 23 + 0 5 + 3x = 23 Add '-5' to each side of the equation. 5 + -5 + 3x = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 23 + -5 3x = 23 + -5 Combine like terms: 23 + -5 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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