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Simplifying 11 + -4(3x + 4) = 5(7 + -5x) Reorder the terms: 11 + -4(4 + 3x) = 5(7 + -5x) 11 + (4 * -4 + 3x * -4) = 5(7 + -5x) 11 + (-16 + -12x) = 5(7 + -5x) Combine like terms: 11 + -16 = -5 -5 + -12x = 5(7 + -5x) -5 + -12x = (7 * 5 + -5x * 5) -5 + -12x = (35 + -25x) Solving -5 + -12x = 35 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -5 + -12x + 25x = 35 + -25x + 25x Combine like terms: -12x + 25x = 13x -5 + 13x = 35 + -25x + 25x Combine like terms: -25x + 25x = 0 -5 + 13x = 35 + 0 -5 + 13x = 35 Add '5' to each side of the equation. -5 + 5 + 13x = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = 35 + 5 13x = 35 + 5 Combine like terms: 35 + 5 = 40 13x = 40 Divide each side by '13'. x = 3.076923077 Simplifying x = 3.076923077
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