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Simplifying 13 + -4(5x + 1) + -3(7 + -5x) = -32 Reorder the terms: 13 + -4(1 + 5x) + -3(7 + -5x) = -32 13 + (1 * -4 + 5x * -4) + -3(7 + -5x) = -32 13 + (-4 + -20x) + -3(7 + -5x) = -32 13 + -4 + -20x + (7 * -3 + -5x * -3) = -32 13 + -4 + -20x + (-21 + 15x) = -32 Reorder the terms: 13 + -4 + -21 + -20x + 15x = -32 Combine like terms: 13 + -4 = 9 9 + -21 + -20x + 15x = -32 Combine like terms: 9 + -21 = -12 -12 + -20x + 15x = -32 Combine like terms: -20x + 15x = -5x -12 + -5x = -32 Solving -12 + -5x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = -32 + 12 -5x = -32 + 12 Combine like terms: -32 + 12 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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