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Simplifying X + 6 + -4 = 5(4 + 5x) + 6(-6x + 7) Reorder the terms: 6 + -4 + X = 5(4 + 5x) + 6(-6x + 7) Combine like terms: 6 + -4 = 2 2 + X = 5(4 + 5x) + 6(-6x + 7) 2 + X = (4 * 5 + 5x * 5) + 6(-6x + 7) 2 + X = (20 + 25x) + 6(-6x + 7) Reorder the terms: 2 + X = 20 + 25x + 6(7 + -6x) 2 + X = 20 + 25x + (7 * 6 + -6x * 6) 2 + X = 20 + 25x + (42 + -36x) Reorder the terms: 2 + X = 20 + 42 + 25x + -36x Combine like terms: 20 + 42 = 62 2 + X = 62 + 25x + -36x Combine like terms: 25x + -36x = -11x 2 + X = 62 + -11x Solving 2 + X = 62 + -11x 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 + X = 62 + -2 + -11x Combine like terms: 2 + -2 = 0 0 + X = 62 + -2 + -11x X = 62 + -2 + -11x Combine like terms: 62 + -2 = 60 X = 60 + -11x Simplifying X = 60 + -11x
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