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Simplifying 7x + -1(3x + 1) = 6(3 + x) Reorder the terms: 7x + -1(1 + 3x) = 6(3 + x) 7x + (1 * -1 + 3x * -1) = 6(3 + x) 7x + (-1 + -3x) = 6(3 + x) Reorder the terms: -1 + 7x + -3x = 6(3 + x) Combine like terms: 7x + -3x = 4x -1 + 4x = 6(3 + x) -1 + 4x = (3 * 6 + x * 6) -1 + 4x = (18 + 6x) Solving -1 + 4x = 18 + 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 + 4x + -6x = 18 + 6x + -6x Combine like terms: 4x + -6x = -2x -1 + -2x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -2x = 18 + 0 -1 + -2x = 18 Add '1' to each side of the equation. -1 + 1 + -2x = 18 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 18 + 1 -2x = 18 + 1 Combine like terms: 18 + 1 = 19 -2x = 19 Divide each side by '-2'. x = -9.5 Simplifying x = -9.5
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