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Simplifying 8x + 11 + -6x = 5(x + 7) Reorder the terms: 11 + 8x + -6x = 5(x + 7) Combine like terms: 8x + -6x = 2x 11 + 2x = 5(x + 7) Reorder the terms: 11 + 2x = 5(7 + x) 11 + 2x = (7 * 5 + x * 5) 11 + 2x = (35 + 5x) Solving 11 + 2x = 35 + 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. 11 + 2x + -5x = 35 + 5x + -5x Combine like terms: 2x + -5x = -3x 11 + -3x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -3x = 35 + 0 11 + -3x = 35 Add '-11' to each side of the equation. 11 + -11 + -3x = 35 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 35 + -11 -3x = 35 + -11 Combine like terms: 35 + -11 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8
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