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Simplifying 4(2x + 6) + -1(3x + 4) = -15 Reorder the terms: 4(6 + 2x) + -1(3x + 4) = -15 (6 * 4 + 2x * 4) + -1(3x + 4) = -15 (24 + 8x) + -1(3x + 4) = -15 Reorder the terms: 24 + 8x + -1(4 + 3x) = -15 24 + 8x + (4 * -1 + 3x * -1) = -15 24 + 8x + (-4 + -3x) = -15 Reorder the terms: 24 + -4 + 8x + -3x = -15 Combine like terms: 24 + -4 = 20 20 + 8x + -3x = -15 Combine like terms: 8x + -3x = 5x 20 + 5x = -15 Solving 20 + 5x = -15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + 5x = -15 + -20 5x = -15 + -20 Combine like terms: -15 + -20 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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