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Simplifying (X + 3) + -3(3 + -3x) = 5(x + 3) + -2 Reorder the terms: (3 + X) + -3(3 + -3x) = 5(x + 3) + -2 Remove parenthesis around (3 + X) 3 + X + -3(3 + -3x) = 5(x + 3) + -2 3 + X + (3 * -3 + -3x * -3) = 5(x + 3) + -2 3 + X + (-9 + 9x) = 5(x + 3) + -2 Reorder the terms: 3 + -9 + X + 9x = 5(x + 3) + -2 Combine like terms: 3 + -9 = -6 -6 + X + 9x = 5(x + 3) + -2 Reorder the terms: -6 + X + 9x = 5(3 + x) + -2 -6 + X + 9x = (3 * 5 + x * 5) + -2 -6 + X + 9x = (15 + 5x) + -2 Reorder the terms: -6 + X + 9x = 15 + -2 + 5x Combine like terms: 15 + -2 = 13 -6 + X + 9x = 13 + 5x Solving -6 + X + 9x = 13 + 5x 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 + 9x = 13 + 6 + 5x Reorder the terms: -6 + 6 + X + 9x = 13 + 6 + 5x Combine like terms: -6 + 6 = 0 0 + X + 9x = 13 + 6 + 5x X + 9x = 13 + 6 + 5x Combine like terms: 13 + 6 = 19 X + 9x = 19 + 5x Add '-9x' to each side of the equation. X + 9x + -9x = 19 + 5x + -9x Combine like terms: 9x + -9x = 0 X + 0 = 19 + 5x + -9x X = 19 + 5x + -9x Combine like terms: 5x + -9x = -4x X = 19 + -4x Simplifying X = 19 + -4x
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