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Simplifying 6(x + -1) + 4 = 3(7x + 1) Reorder the terms: 6(-1 + x) + 4 = 3(7x + 1) (-1 * 6 + x * 6) + 4 = 3(7x + 1) (-6 + 6x) + 4 = 3(7x + 1) Reorder the terms: -6 + 4 + 6x = 3(7x + 1) Combine like terms: -6 + 4 = -2 -2 + 6x = 3(7x + 1) Reorder the terms: -2 + 6x = 3(1 + 7x) -2 + 6x = (1 * 3 + 7x * 3) -2 + 6x = (3 + 21x) Solving -2 + 6x = 3 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -2 + 6x + -21x = 3 + 21x + -21x Combine like terms: 6x + -21x = -15x -2 + -15x = 3 + 21x + -21x Combine like terms: 21x + -21x = 0 -2 + -15x = 3 + 0 -2 + -15x = 3 Add '2' to each side of the equation. -2 + 2 + -15x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = 3 + 2 -15x = 3 + 2 Combine like terms: 3 + 2 = 5 -15x = 5 Divide each side by '-15'. x = -0.3333333333 Simplifying x = -0.3333333333
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