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Simplifying 8x + 11 = 4 + 5(2x + -1) Reorder the terms: 11 + 8x = 4 + 5(2x + -1) Reorder the terms: 11 + 8x = 4 + 5(-1 + 2x) 11 + 8x = 4 + (-1 * 5 + 2x * 5) 11 + 8x = 4 + (-5 + 10x) Combine like terms: 4 + -5 = -1 11 + 8x = -1 + 10x Solving 11 + 8x = -1 + 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. 11 + 8x + -10x = -1 + 10x + -10x Combine like terms: 8x + -10x = -2x 11 + -2x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 11 + -2x = -1 + 0 11 + -2x = -1 Add '-11' to each side of the equation. 11 + -11 + -2x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = -1 + -11 -2x = -1 + -11 Combine like terms: -1 + -11 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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