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