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Simplifying 5(2 + x) = 11 + -1x(8) (2 * 5 + x * 5) = 11 + -1x(8) (10 + 5x) = 11 + -1x(8) Reorder the terms for easier multiplication: 10 + 5x = 11 + -1 * 8x Multiply -1 * 8 10 + 5x = 11 + -8x Solving 10 + 5x = 11 + -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. 10 + 5x + 8x = 11 + -8x + 8x Combine like terms: 5x + 8x = 13x 10 + 13x = 11 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 13x = 11 + 0 10 + 13x = 11 Add '-10' to each side of the equation. 10 + -10 + 13x = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 11 + -10 13x = 11 + -10 Combine like terms: 11 + -10 = 1 13x = 1 Divide each side by '13'. x = 0.07692307692 Simplifying x = 0.07692307692
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