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Simplifying 25 = -5(x + -4) + 9(x + -3) Reorder the terms: 25 = -5(-4 + x) + 9(x + -3) 25 = (-4 * -5 + x * -5) + 9(x + -3) 25 = (20 + -5x) + 9(x + -3) Reorder the terms: 25 = 20 + -5x + 9(-3 + x) 25 = 20 + -5x + (-3 * 9 + x * 9) 25 = 20 + -5x + (-27 + 9x) Reorder the terms: 25 = 20 + -27 + -5x + 9x Combine like terms: 20 + -27 = -7 25 = -7 + -5x + 9x Combine like terms: -5x + 9x = 4x 25 = -7 + 4x Solving 25 = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 25 + -4x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 25 + -4x = -7 + 0 25 + -4x = -7 Add '-25' to each side of the equation. 25 + -25 + -4x = -7 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = -7 + -25 -4x = -7 + -25 Combine like terms: -7 + -25 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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