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Simplifying X + 5(6 + -8x) + -4 = 4 + 5x + -2 X + (6 * 5 + -8x * 5) + -4 = 4 + 5x + -2 X + (30 + -40x) + -4 = 4 + 5x + -2 Reorder the terms: 30 + -4 + X + -40x = 4 + 5x + -2 Combine like terms: 30 + -4 = 26 26 + X + -40x = 4 + 5x + -2 Reorder the terms: 26 + X + -40x = 4 + -2 + 5x Combine like terms: 4 + -2 = 2 26 + X + -40x = 2 + 5x Solving 26 + X + -40x = 2 + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + X + -26 + -40x = 2 + -26 + 5x Reorder the terms: 26 + -26 + X + -40x = 2 + -26 + 5x Combine like terms: 26 + -26 = 0 0 + X + -40x = 2 + -26 + 5x X + -40x = 2 + -26 + 5x Combine like terms: 2 + -26 = -24 X + -40x = -24 + 5x Add '40x' to each side of the equation. X + -40x + 40x = -24 + 5x + 40x Combine like terms: -40x + 40x = 0 X + 0 = -24 + 5x + 40x X = -24 + 5x + 40x Combine like terms: 5x + 40x = 45x X = -24 + 45x Simplifying X = -24 + 45x
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