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Simplifying (X + 2) + -2(4 + -5x) = 6(x + 5) + -1 Reorder the terms: (2 + X) + -2(4 + -5x) = 6(x + 5) + -1 Remove parenthesis around (2 + X) 2 + X + -2(4 + -5x) = 6(x + 5) + -1 2 + X + (4 * -2 + -5x * -2) = 6(x + 5) + -1 2 + X + (-8 + 10x) = 6(x + 5) + -1 Reorder the terms: 2 + -8 + X + 10x = 6(x + 5) + -1 Combine like terms: 2 + -8 = -6 -6 + X + 10x = 6(x + 5) + -1 Reorder the terms: -6 + X + 10x = 6(5 + x) + -1 -6 + X + 10x = (5 * 6 + x * 6) + -1 -6 + X + 10x = (30 + 6x) + -1 Reorder the terms: -6 + X + 10x = 30 + -1 + 6x Combine like terms: 30 + -1 = 29 -6 + X + 10x = 29 + 6x Solving -6 + X + 10x = 29 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + X + 6 + 10x = 29 + 6 + 6x Reorder the terms: -6 + 6 + X + 10x = 29 + 6 + 6x Combine like terms: -6 + 6 = 0 0 + X + 10x = 29 + 6 + 6x X + 10x = 29 + 6 + 6x Combine like terms: 29 + 6 = 35 X + 10x = 35 + 6x Add '-10x' to each side of the equation. X + 10x + -10x = 35 + 6x + -10x Combine like terms: 10x + -10x = 0 X + 0 = 35 + 6x + -10x X = 35 + 6x + -10x Combine like terms: 6x + -10x = -4x X = 35 + -4x Simplifying X = 35 + -4x
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