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Simplifying 2x + -5(4x + 15) = 51 Reorder the terms: 2x + -5(15 + 4x) = 51 2x + (15 * -5 + 4x * -5) = 51 2x + (-75 + -20x) = 51 Reorder the terms: -75 + 2x + -20x = 51 Combine like terms: 2x + -20x = -18x -75 + -18x = 51 Solving -75 + -18x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -18x = 51 + 75 Combine like terms: -75 + 75 = 0 0 + -18x = 51 + 75 -18x = 51 + 75 Combine like terms: 51 + 75 = 126 -18x = 126 Divide each side by '-18'. x = -7 Simplifying x = -7
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