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Simplifying 4(x + 8) + -1(3x + 2) = 3 Reorder the terms: 4(8 + x) + -1(3x + 2) = 3 (8 * 4 + x * 4) + -1(3x + 2) = 3 (32 + 4x) + -1(3x + 2) = 3 Reorder the terms: 32 + 4x + -1(2 + 3x) = 3 32 + 4x + (2 * -1 + 3x * -1) = 3 32 + 4x + (-2 + -3x) = 3 Reorder the terms: 32 + -2 + 4x + -3x = 3 Combine like terms: 32 + -2 = 30 30 + 4x + -3x = 3 Combine like terms: 4x + -3x = 1x 30 + 1x = 3 Solving 30 + 1x = 3 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 + 1x = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 3 + -30 1x = 3 + -30 Combine like terms: 3 + -30 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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