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Simplifying -6(4x + -6) + 5(5x + -6) + -4 = 8 + -5 Reorder the terms: -6(-6 + 4x) + 5(5x + -6) + -4 = 8 + -5 (-6 * -6 + 4x * -6) + 5(5x + -6) + -4 = 8 + -5 (36 + -24x) + 5(5x + -6) + -4 = 8 + -5 Reorder the terms: 36 + -24x + 5(-6 + 5x) + -4 = 8 + -5 36 + -24x + (-6 * 5 + 5x * 5) + -4 = 8 + -5 36 + -24x + (-30 + 25x) + -4 = 8 + -5 Reorder the terms: 36 + -30 + -4 + -24x + 25x = 8 + -5 Combine like terms: 36 + -30 = 6 6 + -4 + -24x + 25x = 8 + -5 Combine like terms: 6 + -4 = 2 2 + -24x + 25x = 8 + -5 Combine like terms: -24x + 25x = 1x 2 + 1x = 8 + -5 Combine like terms: 8 + -5 = 3 2 + 1x = 3 Solving 2 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 3 + -2 1x = 3 + -2 Combine like terms: 3 + -2 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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