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Simplifying 5(3 + -4x) + -16(2x + -5) = 43 (3 * 5 + -4x * 5) + -16(2x + -5) = 43 (15 + -20x) + -16(2x + -5) = 43 Reorder the terms: 15 + -20x + -16(-5 + 2x) = 43 15 + -20x + (-5 * -16 + 2x * -16) = 43 15 + -20x + (80 + -32x) = 43 Reorder the terms: 15 + 80 + -20x + -32x = 43 Combine like terms: 15 + 80 = 95 95 + -20x + -32x = 43 Combine like terms: -20x + -32x = -52x 95 + -52x = 43 Solving 95 + -52x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -52x = 43 + -95 Combine like terms: 95 + -95 = 0 0 + -52x = 43 + -95 -52x = 43 + -95 Combine like terms: 43 + -95 = -52 -52x = -52 Divide each side by '-52'. x = 1 Simplifying x = 1
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