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Simplifying 7(x + 4) + -1(3x + -1) = 6 Reorder the terms: 7(4 + x) + -1(3x + -1) = 6 (4 * 7 + x * 7) + -1(3x + -1) = 6 (28 + 7x) + -1(3x + -1) = 6 Reorder the terms: 28 + 7x + -1(-1 + 3x) = 6 28 + 7x + (-1 * -1 + 3x * -1) = 6 28 + 7x + (1 + -3x) = 6 Reorder the terms: 28 + 1 + 7x + -3x = 6 Combine like terms: 28 + 1 = 29 29 + 7x + -3x = 6 Combine like terms: 7x + -3x = 4x 29 + 4x = 6 Solving 29 + 4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 4x = 6 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 6 + -29 4x = 6 + -29 Combine like terms: 6 + -29 = -23 4x = -23 Divide each side by '4'. x = -5.75 Simplifying x = -5.75
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