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Simplifying 3x + -1(1 + -7x) = 4 + 3(2x + 5) 3x + (1 * -1 + -7x * -1) = 4 + 3(2x + 5) 3x + (-1 + 7x) = 4 + 3(2x + 5) Reorder the terms: -1 + 3x + 7x = 4 + 3(2x + 5) Combine like terms: 3x + 7x = 10x -1 + 10x = 4 + 3(2x + 5) Reorder the terms: -1 + 10x = 4 + 3(5 + 2x) -1 + 10x = 4 + (5 * 3 + 2x * 3) -1 + 10x = 4 + (15 + 6x) Combine like terms: 4 + 15 = 19 -1 + 10x = 19 + 6x Solving -1 + 10x = 19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 10x + -6x = 19 + 6x + -6x Combine like terms: 10x + -6x = 4x -1 + 4x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + 4x = 19 + 0 -1 + 4x = 19 Add '1' to each side of the equation. -1 + 1 + 4x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 19 + 1 4x = 19 + 1 Combine like terms: 19 + 1 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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