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Simplifying 8(3x + -4) + -7(2x + -1) = 25 Reorder the terms: 8(-4 + 3x) + -7(2x + -1) = 25 (-4 * 8 + 3x * 8) + -7(2x + -1) = 25 (-32 + 24x) + -7(2x + -1) = 25 Reorder the terms: -32 + 24x + -7(-1 + 2x) = 25 -32 + 24x + (-1 * -7 + 2x * -7) = 25 -32 + 24x + (7 + -14x) = 25 Reorder the terms: -32 + 7 + 24x + -14x = 25 Combine like terms: -32 + 7 = -25 -25 + 24x + -14x = 25 Combine like terms: 24x + -14x = 10x -25 + 10x = 25 Solving -25 + 10x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 10x = 25 + 25 Combine like terms: -25 + 25 = 0 0 + 10x = 25 + 25 10x = 25 + 25 Combine like terms: 25 + 25 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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