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Simplifying X + 2(x + -5) = 1 + (-3x + 1) Reorder the terms: X + 2(-5 + x) = 1 + (-3x + 1) X + (-5 * 2 + x * 2) = 1 + (-3x + 1) X + (-10 + 2x) = 1 + (-3x + 1) Reorder the terms: -10 + X + 2x = 1 + (-3x + 1) Reorder the terms: -10 + X + 2x = 1 + (1 + -3x) Remove parenthesis around (1 + -3x) -10 + X + 2x = 1 + 1 + -3x Combine like terms: 1 + 1 = 2 -10 + X + 2x = 2 + -3x Solving -10 + X + 2x = 2 + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + X + 10 + 2x = 2 + 10 + -3x Reorder the terms: -10 + 10 + X + 2x = 2 + 10 + -3x Combine like terms: -10 + 10 = 0 0 + X + 2x = 2 + 10 + -3x X + 2x = 2 + 10 + -3x Combine like terms: 2 + 10 = 12 X + 2x = 12 + -3x Add '-2x' to each side of the equation. X + 2x + -2x = 12 + -3x + -2x Combine like terms: 2x + -2x = 0 X + 0 = 12 + -3x + -2x X = 12 + -3x + -2x Combine like terms: -3x + -2x = -5x X = 12 + -5x Simplifying X = 12 + -5x
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