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Simplifying 4(2x + 5) = -38 + 10 Reorder the terms: 4(5 + 2x) = -38 + 10 (5 * 4 + 2x * 4) = -38 + 10 (20 + 8x) = -38 + 10 Combine like terms: -38 + 10 = -28 20 + 8x = -28 Solving 20 + 8x = -28 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 + 8x = -28 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = -28 + -20 8x = -28 + -20 Combine like terms: -28 + -20 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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