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Simplifying -6(4x + -5) + 5(5x + -6) + -7 = 7 + -5 Reorder the terms: -6(-5 + 4x) + 5(5x + -6) + -7 = 7 + -5 (-5 * -6 + 4x * -6) + 5(5x + -6) + -7 = 7 + -5 (30 + -24x) + 5(5x + -6) + -7 = 7 + -5 Reorder the terms: 30 + -24x + 5(-6 + 5x) + -7 = 7 + -5 30 + -24x + (-6 * 5 + 5x * 5) + -7 = 7 + -5 30 + -24x + (-30 + 25x) + -7 = 7 + -5 Reorder the terms: 30 + -30 + -7 + -24x + 25x = 7 + -5 Combine like terms: 30 + -30 = 0 0 + -7 + -24x + 25x = 7 + -5 -7 + -24x + 25x = 7 + -5 Combine like terms: -24x + 25x = 1x -7 + 1x = 7 + -5 Combine like terms: 7 + -5 = 2 -7 + 1x = 2 Solving -7 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 2 + 7 1x = 2 + 7 Combine like terms: 2 + 7 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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