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Simplifying -6(4x + -6) + 5(5x + -6) + -7 = 9 + -7 Reorder the terms: -6(-6 + 4x) + 5(5x + -6) + -7 = 9 + -7 (-6 * -6 + 4x * -6) + 5(5x + -6) + -7 = 9 + -7 (36 + -24x) + 5(5x + -6) + -7 = 9 + -7 Reorder the terms: 36 + -24x + 5(-6 + 5x) + -7 = 9 + -7 36 + -24x + (-6 * 5 + 5x * 5) + -7 = 9 + -7 36 + -24x + (-30 + 25x) + -7 = 9 + -7 Reorder the terms: 36 + -30 + -7 + -24x + 25x = 9 + -7 Combine like terms: 36 + -30 = 6 6 + -7 + -24x + 25x = 9 + -7 Combine like terms: 6 + -7 = -1 -1 + -24x + 25x = 9 + -7 Combine like terms: -24x + 25x = 1x -1 + 1x = 9 + -7 Combine like terms: 9 + -7 = 2 -1 + 1x = 2 Solving -1 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 2 + 1 1x = 2 + 1 Combine like terms: 2 + 1 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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