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Simplifying X + 2 + 3 = 6(3x + 1) + -5(-10 + 4x) Reorder the terms: 2 + 3 + X = 6(3x + 1) + -5(-10 + 4x) Combine like terms: 2 + 3 = 5 5 + X = 6(3x + 1) + -5(-10 + 4x) Reorder the terms: 5 + X = 6(1 + 3x) + -5(-10 + 4x) 5 + X = (1 * 6 + 3x * 6) + -5(-10 + 4x) 5 + X = (6 + 18x) + -5(-10 + 4x) 5 + X = 6 + 18x + (-10 * -5 + 4x * -5) 5 + X = 6 + 18x + (50 + -20x) Reorder the terms: 5 + X = 6 + 50 + 18x + -20x Combine like terms: 6 + 50 = 56 5 + X = 56 + 18x + -20x Combine like terms: 18x + -20x = -2x 5 + X = 56 + -2x Solving 5 + X = 56 + -2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 56 + -5 + -2x Combine like terms: 5 + -5 = 0 0 + X = 56 + -5 + -2x X = 56 + -5 + -2x Combine like terms: 56 + -5 = 51 X = 51 + -2x Simplifying X = 51 + -2x
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