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Simplifying 5(2x + -9) + -3(4x + 7) = 25 Reorder the terms: 5(-9 + 2x) + -3(4x + 7) = 25 (-9 * 5 + 2x * 5) + -3(4x + 7) = 25 (-45 + 10x) + -3(4x + 7) = 25 Reorder the terms: -45 + 10x + -3(7 + 4x) = 25 -45 + 10x + (7 * -3 + 4x * -3) = 25 -45 + 10x + (-21 + -12x) = 25 Reorder the terms: -45 + -21 + 10x + -12x = 25 Combine like terms: -45 + -21 = -66 -66 + 10x + -12x = 25 Combine like terms: 10x + -12x = -2x -66 + -2x = 25 Solving -66 + -2x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + -2x = 25 + 66 Combine like terms: -66 + 66 = 0 0 + -2x = 25 + 66 -2x = 25 + 66 Combine like terms: 25 + 66 = 91 -2x = 91 Divide each side by '-2'. x = -45.5 Simplifying x = -45.5
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