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Simplifying (X + 4) + -2(3 + -5x) = 3(x + 5) + -1 Reorder the terms: (4 + X) + -2(3 + -5x) = 3(x + 5) + -1 Remove parenthesis around (4 + X) 4 + X + -2(3 + -5x) = 3(x + 5) + -1 4 + X + (3 * -2 + -5x * -2) = 3(x + 5) + -1 4 + X + (-6 + 10x) = 3(x + 5) + -1 Reorder the terms: 4 + -6 + X + 10x = 3(x + 5) + -1 Combine like terms: 4 + -6 = -2 -2 + X + 10x = 3(x + 5) + -1 Reorder the terms: -2 + X + 10x = 3(5 + x) + -1 -2 + X + 10x = (5 * 3 + x * 3) + -1 -2 + X + 10x = (15 + 3x) + -1 Reorder the terms: -2 + X + 10x = 15 + -1 + 3x Combine like terms: 15 + -1 = 14 -2 + X + 10x = 14 + 3x Solving -2 + X + 10x = 14 + 3x 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 + X + 2 + 10x = 14 + 2 + 3x Reorder the terms: -2 + 2 + X + 10x = 14 + 2 + 3x Combine like terms: -2 + 2 = 0 0 + X + 10x = 14 + 2 + 3x X + 10x = 14 + 2 + 3x Combine like terms: 14 + 2 = 16 X + 10x = 16 + 3x Add '-10x' to each side of the equation. X + 10x + -10x = 16 + 3x + -10x Combine like terms: 10x + -10x = 0 X + 0 = 16 + 3x + -10x X = 16 + 3x + -10x Combine like terms: 3x + -10x = -7x X = 16 + -7x Simplifying X = 16 + -7x
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