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Simplifying 8 + -5(2x + -7) = 3x + 11 Reorder the terms: 8 + -5(-7 + 2x) = 3x + 11 8 + (-7 * -5 + 2x * -5) = 3x + 11 8 + (35 + -10x) = 3x + 11 Combine like terms: 8 + 35 = 43 43 + -10x = 3x + 11 Reorder the terms: 43 + -10x = 11 + 3x Solving 43 + -10x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 43 + -10x + -3x = 11 + 3x + -3x Combine like terms: -10x + -3x = -13x 43 + -13x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 43 + -13x = 11 + 0 43 + -13x = 11 Add '-43' to each side of the equation. 43 + -43 + -13x = 11 + -43 Combine like terms: 43 + -43 = 0 0 + -13x = 11 + -43 -13x = 11 + -43 Combine like terms: 11 + -43 = -32 -13x = -32 Divide each side by '-13'. x = 2.461538462 Simplifying x = 2.461538462
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