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Simplifying 9x + -5(x + -5) = 2(x + -3) + 7 Reorder the terms: 9x + -5(-5 + x) = 2(x + -3) + 7 9x + (-5 * -5 + x * -5) = 2(x + -3) + 7 9x + (25 + -5x) = 2(x + -3) + 7 Reorder the terms: 25 + 9x + -5x = 2(x + -3) + 7 Combine like terms: 9x + -5x = 4x 25 + 4x = 2(x + -3) + 7 Reorder the terms: 25 + 4x = 2(-3 + x) + 7 25 + 4x = (-3 * 2 + x * 2) + 7 25 + 4x = (-6 + 2x) + 7 Reorder the terms: 25 + 4x = -6 + 7 + 2x Combine like terms: -6 + 7 = 1 25 + 4x = 1 + 2x Solving 25 + 4x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + 4x + -2x = 1 + 2x + -2x Combine like terms: 4x + -2x = 2x 25 + 2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 2x = 1 + 0 25 + 2x = 1 Add '-25' to each side of the equation. 25 + -25 + 2x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 1 + -25 2x = 1 + -25 Combine like terms: 1 + -25 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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