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Simplifying 7(x + 4) + -1(3x + -2) = 0 Reorder the terms: 7(4 + x) + -1(3x + -2) = 0 (4 * 7 + x * 7) + -1(3x + -2) = 0 (28 + 7x) + -1(3x + -2) = 0 Reorder the terms: 28 + 7x + -1(-2 + 3x) = 0 28 + 7x + (-2 * -1 + 3x * -1) = 0 28 + 7x + (2 + -3x) = 0 Reorder the terms: 28 + 2 + 7x + -3x = 0 Combine like terms: 28 + 2 = 30 30 + 7x + -3x = 0 Combine like terms: 7x + -3x = 4x 30 + 4x = 0 Solving 30 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 4x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 0 + -30 4x = 0 + -30 Combine like terms: 0 + -30 = -30 4x = -30 Divide each side by '4'. x = -7.5 Simplifying x = -7.5
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