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Simplifying 6 + -4x = 11 + -5(4x + -7) Reorder the terms: 6 + -4x = 11 + -5(-7 + 4x) 6 + -4x = 11 + (-7 * -5 + 4x * -5) 6 + -4x = 11 + (35 + -20x) Combine like terms: 11 + 35 = 46 6 + -4x = 46 + -20x Solving 6 + -4x = 46 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 6 + -4x + 20x = 46 + -20x + 20x Combine like terms: -4x + 20x = 16x 6 + 16x = 46 + -20x + 20x Combine like terms: -20x + 20x = 0 6 + 16x = 46 + 0 6 + 16x = 46 Add '-6' to each side of the equation. 6 + -6 + 16x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 46 + -6 16x = 46 + -6 Combine like terms: 46 + -6 = 40 16x = 40 Divide each side by '16'. x = 2.5 Simplifying x = 2.5
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