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Simplifying [6x + -1(4x + 3)] = 7 + -1(5x + 6) Reorder the terms: [6x + -1(3 + 4x)] = 7 + -1(5x + 6) [6x + (3 * -1 + 4x * -1)] = 7 + -1(5x + 6) [6x + (-3 + -4x)] = 7 + -1(5x + 6) Reorder the terms: [-3 + 6x + -4x] = 7 + -1(5x + 6) Combine like terms: 6x + -4x = 2x [-3 + 2x] = 7 + -1(5x + 6) Remove brackets around [-3 + 2x] -3 + 2x = 7 + -1(5x + 6) Reorder the terms: -3 + 2x = 7 + -1(6 + 5x) -3 + 2x = 7 + (6 * -1 + 5x * -1) -3 + 2x = 7 + (-6 + -5x) Combine like terms: 7 + -6 = 1 -3 + 2x = 1 + -5x Solving -3 + 2x = 1 + -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. -3 + 2x + 5x = 1 + -5x + 5x Combine like terms: 2x + 5x = 7x -3 + 7x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 7x = 1 + 0 -3 + 7x = 1 Add '3' to each side of the equation. -3 + 3 + 7x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 7x = 1 + 3 7x = 1 + 3 Combine like terms: 1 + 3 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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