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Simplifying 4(3x + -8) + 5(2x + 7) = 25 Reorder the terms: 4(-8 + 3x) + 5(2x + 7) = 25 (-8 * 4 + 3x * 4) + 5(2x + 7) = 25 (-32 + 12x) + 5(2x + 7) = 25 Reorder the terms: -32 + 12x + 5(7 + 2x) = 25 -32 + 12x + (7 * 5 + 2x * 5) = 25 -32 + 12x + (35 + 10x) = 25 Reorder the terms: -32 + 35 + 12x + 10x = 25 Combine like terms: -32 + 35 = 3 3 + 12x + 10x = 25 Combine like terms: 12x + 10x = 22x 3 + 22x = 25 Solving 3 + 22x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 22x = 25 + -3 Combine like terms: 3 + -3 = 0 0 + 22x = 25 + -3 22x = 25 + -3 Combine like terms: 25 + -3 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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