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Simplifying X + -3(x + 1) = 2(5 + -2x) Reorder the terms: X + -3(1 + x) = 2(5 + -2x) X + (1 * -3 + x * -3) = 2(5 + -2x) X + (-3 + -3x) = 2(5 + -2x) Reorder the terms: -3 + X + -3x = 2(5 + -2x) -3 + X + -3x = (5 * 2 + -2x * 2) -3 + X + -3x = (10 + -4x) Solving -3 + X + -3x = 10 + -4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + X + 3 + -3x = 10 + 3 + -4x Reorder the terms: -3 + 3 + X + -3x = 10 + 3 + -4x Combine like terms: -3 + 3 = 0 0 + X + -3x = 10 + 3 + -4x X + -3x = 10 + 3 + -4x Combine like terms: 10 + 3 = 13 X + -3x = 13 + -4x Add '3x' to each side of the equation. X + -3x + 3x = 13 + -4x + 3x Combine like terms: -3x + 3x = 0 X + 0 = 13 + -4x + 3x X = 13 + -4x + 3x Combine like terms: -4x + 3x = -1x X = 13 + -1x Simplifying X = 13 + -1x
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