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Simplifying 8(2 + x) = 5(53 + x) + -11 (2 * 8 + x * 8) = 5(53 + x) + -11 (16 + 8x) = 5(53 + x) + -11 16 + 8x = (53 * 5 + x * 5) + -11 16 + 8x = (265 + 5x) + -11 Reorder the terms: 16 + 8x = 265 + -11 + 5x Combine like terms: 265 + -11 = 254 16 + 8x = 254 + 5x Solving 16 + 8x = 254 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 8x + -5x = 254 + 5x + -5x Combine like terms: 8x + -5x = 3x 16 + 3x = 254 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 3x = 254 + 0 16 + 3x = 254 Add '-16' to each side of the equation. 16 + -16 + 3x = 254 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 254 + -16 3x = 254 + -16 Combine like terms: 254 + -16 = 238 3x = 238 Divide each side by '3'. x = 79.33333333 Simplifying x = 79.33333333
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