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Simplifying 7(x + 1) + -1(4x + -3) = 6 Reorder the terms: 7(1 + x) + -1(4x + -3) = 6 (1 * 7 + x * 7) + -1(4x + -3) = 6 (7 + 7x) + -1(4x + -3) = 6 Reorder the terms: 7 + 7x + -1(-3 + 4x) = 6 7 + 7x + (-3 * -1 + 4x * -1) = 6 7 + 7x + (3 + -4x) = 6 Reorder the terms: 7 + 3 + 7x + -4x = 6 Combine like terms: 7 + 3 = 10 10 + 7x + -4x = 6 Combine like terms: 7x + -4x = 3x 10 + 3x = 6 Solving 10 + 3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 6 + -10 3x = 6 + -10 Combine like terms: 6 + -10 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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